Write the expression as a single logarithm log3 40-log3 10
Asked by maham237 @ in Mathematics viewed by 282 People
1) write the expression as a single logarithm log3 40 - log3 10 show work. 2) solve the exponential equation 1/16 =64^[4x-3]
Answered by maham237 @
1) The expression log3(40) - log3(10) can be simplified. When substracting logs with the same base values, in this case 3, you can simplify the expression by dividing the species inside each log.
log3(40) - log3(10)
log3(40/10)
log3(4) = simplified expression
2) To solve the exponential equation 1/16 = 64^(4x-3) we can also simplify things first. 16 = 4², and 64 = 4³.
1/4² = 4³⁽⁴ˣ⁻³⁾
4⁻² = 4³⁽⁴ˣ⁻³⁾
At this stage since the bases are equal, the exponents must also be equal.
-2 = 3(4x-3)
-2/3 = 4x - 3
4x = 7/3
x = 7/12
Similar Questions
Write the expression as either the sine, cosine, or tangent of a single angle.
Asked by maham237 @ in Mathematics viewed by 292 persons
Write the expression as either the sine, cosine, or tangent of a single angle.
cos(pi/3)cos(pi/5)+sin(pi/3)sin(pi/5)
How do you write a logarithmic equation in exponential form
Asked by admin @ in Mathematics viewed by 403 persons
Write the logarithmic equation in exponential form. log2 16 = 4
How to write an exponential function as a logarithmic function
Asked by admin @ in Mathematics viewed by 263 persons
How would you explain the relationship between an exponential function and a logarithmic function to an English major you are tutoring in math? Can you give me a real life …
Write 2log3 3log5 5log2 as a single logarithm
Asked by admin @ in Math viewed by 383 persons
Write 2 log 3 + 3 log 5 - 5 log 2 as a single logarithm ? i will mark u as brainliest answer
Write log3 6 as a logarithm of base 2.
Asked by maham237 @ in Mathematics viewed by 295 persons
Write log3 6 as a logarithm of base 2.
1) (log2)3/(log2)6
2) (log2)6/(log2)3
3) (log3)2/(log6)2
4) (log6)2/ (log3)2 ...?
Write an expression that is equal to 3x2 1 4
Asked by maham237 @ in Mathematics viewed by 485 persons
3x2 1/4
Define a variable and write an expression for each phrase
Asked by maham237 @ in Mathematics viewed by 345 persons
Elaina wrote two correct variable expressions to represent the phrase “one-fourth of a number.” Which variable expressions could Elaina have written? Select each correct answer. A.) 4 ÷ n
B.) …
Write a diary entry expressing your feelings after the result
Asked by admin @ in English viewed by 1134 persons
Write a diary entry on how you feel in your annual result day.can anyone answer my question???
Write 12 less than a number x as an expression
Asked by admin @ in Math viewed by 321 persons
Write 12 less than a number x as an expression
The infinitive in english is expressed by writing the word
Asked by maham237 @ in Spanish viewed by 275 persons
_____ before a verb. In Spanish the infinitive is expressed by the verb endings _____, _____, _____.
2. In order to say that something that doesn't happen in Spanish, use …
Write an expression that continues to bid until the user enters 'n'.
Asked by maham237 @ in Computers And Technology viewed by 287 persons
Factor the algebraic expression below in terms of a single trigonometric function. csc 2x - 1
Asked by maham237 @ in Advanced Placement (Ap) viewed by 2608 persons
20 POINTS, please help!!Factor the algebraic expression below in terms of a single trigonometric function.
csc ^2x-1
Simplify each expression to a single trig function or number
Asked by admin @ in Mathematics viewed by 306 persons
Simplify each expression to a single trig function or number cosx(secx-cosx)
What does it mean to write a simplified math expression
Asked by admin @ in Mathematics viewed by 330 persons
Write a simplified expression for the length of line AC.
Write a simplified expression for the length of line QR.
AC=
QR=
What is 3 ln 3 - ln 9 expressed as a single natural logarithm?
Asked by maham237 @ in Mathematics viewed by 308 persons
Most viewed questions in Mathematics
Unit 6 similar triangles homework 2 similar figures answer key
Asked by maham237 @ in Mathematics viewed by 18381 persons
All things algebra unit 7 polygons and quadrilaterals answer key
Asked by admin @ in Mathematics viewed by 8169 persons
Gina wilson all things algebra 2016 answer key unit 11
Asked by admin @ in Mathematics viewed by 5796 persons
Unit 1 geometry basics homework 4 angle addition postulate answers
Asked by maham237 @ in Mathematics viewed by 3940 persons
Unit 6 exponents and exponential functions homework 8 answer key
Asked by maham237 @ in Mathematics viewed by 3262 persons
The manager of a vacation resort believes that the ages
Asked by maham237 @ in Mathematics viewed by 2929 persons
What is 271 403 rounded to the nearest ten thousand
Asked by maham237 @ in Mathematics viewed by 2805 persons
Unit 1 geometry basics homework 3 angle relationships answer key
Asked by maham237 @ in Mathematics viewed by 2592 persons
Why would a prism beat a sphere in a competition?
Asked by maham237 @ in Mathematics viewed by 2485 persons
An artist sells a painting for 20.50 but uses 5.75
Asked by maham237 @ in Mathematics viewed by 2439 persons
Unit 4 congruent triangles homework 1 classifying triangles answer key
Asked by maham237 @ in Mathematics viewed by 2425 persons
Unit 4 congruent triangles homework 2 angles of triangles
Asked by maham237 @ in Mathematics viewed by 2082 persons
Compare the values of the 2s and 5s in 55220
Asked by maham237 @ in Mathematics viewed by 1800 persons