Use quotient rule and rewrite each expression as single exponent


Asked by admin @ in Mathematics viewed by 344 People


Use the product, quotient, and power rules of logarithms to rewrite the expression as a single logarithm. Assume that all variables represent positive real numbers. (2 points) 4log x + 3log y

Answered by admin @



4log(x) x + 3log(y)


The power rule of logarithms states:

log(4)^X = Xlog(4)


The product rule of logarithms states:

log(x) + log(y) = log(xy)


Rewrite each logarithm using the power rule of logarithms:

4log(x) = log(x)^4

3log(y) = log(y)^3


log(x)^4 + log(y)^3


Combine them using the product rule of logarithms:

log(x)^4 + log(y)^3 = log(x^4y^3)


Answer:

log(x^4y^3)


Similar Questions

Using exponents write three more expressions whose value is 216

Asked by maham237 @ in Mathematics viewed by 571 persons

6^3=216.

Simplify using the quotient rule

Asked by maham237 @ in Mathematics viewed by 306 persons

Using the quotient rule to simplify the radical

Which expression is correctly simplified using the laws of exponents

Asked by maham237 @ in Mathematics viewed by 312 persons

a. (a^0 b^3) = b^12 b. (a^4 b^2)^3 = a^7 b^5 c. (a^2) ^-3 = (a^9) over over (b^3) ( b^6) d. (a^5) (a^3) over = over (b^3) b Which …

Simplify the expression tell which properties of exponents you used

Asked by admin @ in Mathematics viewed by 291 persons

PLEASE!?!?!?   11 points and brainliest Match the expression to the exponent property that you use first to simplify the expression.

Which shows the following expression using positive exponents?

Asked by maham237 @ in Mathematics viewed by 369 persons

a^3 b^-2/ ab^-4

Why single mode fiber is used for long distance communication

Asked by admin @ in Computers and Technology viewed by 346 persons

Multimode fiber can be used for long distance transmission

Fleming left hand rule is used to find

Asked by admin @ in Physics viewed by 277 persons

Fleming left hand rule is used to find the direction of the

The command can be used to display single record

Asked by admin @ in Computer Science viewed by 438 persons

The command can be used to display single record examveda

Estimate each of the following using general rule 730 998

Asked by admin @ in Math viewed by 271 persons

EXERCISE 1.3 1. Estimate each of the following using general rule:(a) 730 +998 (b) 796 - 314 (c) 12,904 +2,888 (d) 28,292 -21,496Make ten more such examples of …

For ceiling fans generally the single phase motor used is

Asked by admin @ in Physics viewed by 361 persons

For ceiling fans generally the single phase motor used is

What is a way to write 100 000 using exponents

Asked by maham237 @ in Mathematics viewed by 341 persons

What rule is used to join the free nucleotides

Asked by maham237 @ in Biology viewed by 306 persons

What rule is used to join the free nucleotides to the exposed bases of the dna

How to use compatible numbers to estimate the quotient

Asked by maham237 @ in Mathematics viewed by 282 persons

Using compatible number to estimate the quotient 2116÷7

Rewrite 6.03 using a decimal fraction

Asked by maham237 @ in Mathematics viewed by 321 persons

Most viewed questions in Mathematics


Unit 6 similar triangles homework 2 similar figures answer key

Asked by maham237 @ in Mathematics viewed by 18341 persons


All things algebra unit 7 polygons and quadrilaterals answer key

Asked by admin @ in Mathematics viewed by 8139 persons


Gina wilson all things algebra 2016 answer key unit 11

Asked by admin @ in Mathematics viewed by 5764 persons



Unit 1 geometry basics homework 4 angle addition postulate answers

Asked by maham237 @ in Mathematics viewed by 3929 persons


Unit 6 exponents and exponential functions homework 8 answer key

Asked by maham237 @ in Mathematics viewed by 3246 persons


The manager of a vacation resort believes that the ages

Asked by maham237 @ in Mathematics viewed by 2918 persons



What is 271 403 rounded to the nearest ten thousand

Asked by maham237 @ in Mathematics viewed by 2780 persons


Unit 1 geometry basics homework 3 angle relationships answer key

Asked by maham237 @ in Mathematics viewed by 2572 persons


Homework 2 parallelograms

Asked by maham237 @ in Mathematics viewed by 2491 persons



Why would a prism beat a sphere in a competition?

Asked by maham237 @ in Mathematics viewed by 2473 persons


John wants to send a letter to peter

Asked by maham237 @ in Mathematics viewed by 2458 persons


An artist sells a painting for 20.50 but uses 5.75

Asked by maham237 @ in Mathematics viewed by 2423 persons



Unit 4 congruent triangles homework 1 classifying triangles answer key

Asked by maham237 @ in Mathematics viewed by 2413 persons


Unit 4 congruent triangles homework 2 angles of triangles

Asked by maham237 @ in Mathematics viewed by 2068 persons


Compare the values of the 2s and 5s in 55220

Asked by maham237 @ in Mathematics viewed by 1788 persons