Which logarithmic equation is equivalent to the exponential equation below

Asked by maham237 @ 18/07/2021 in Mathematics viewed by 268 People

e^4x = 5 (the x is part of the ^4 exponent) A. log 5 = 4x B. ln 4x = 5 C. ln 5 = 4x D. log 4x = 5

Answered by maham237 @ 18/07/2021

Keep in mind that "ln" is just a shortcut for the logarithm with a base of "e".

$\bf \textit{exponential form of a logarithm}\\\\
log_{{ a}}{{ ( b)}}=y \implies {{ a}}^y={{ b}}\qquad\qquad 
% exponential notation 2nd form
{{ a}}^y={{ b}}\implies log_{{ a}}{{(b)}}=y \\\\
-------------------------------\\\\
e^{4x}=5\implies log_e(5)=4x\implies ln(5)=4x$

Solve exponential equations using logarithms base 10 and base e

Asked by admin @ 29/10/2021 in Mathematics viewed by 307 persons

consider the equation 6*e^0.25t = 9 solve the equation for t. express the solution as a logarithm in base-e

Solving an exponential equation by using logarithms decimal answers basic

Asked by admin @ 29/10/2021 in Mathematics viewed by 320 persons

How to solve an exponential equation with unlike bases

How do you write a logarithmic equation in exponential form

Asked by admin @ 26/11/2021 in Mathematics viewed by 395 persons

Write the logarithmic equation in exponential form. log2 16 = 4

Which exponential equation is equivalent to the logarithmic equation below

Asked by maham237 @ 18/07/2021 in Mathematics viewed by 270 persons

c= In 4 A.) e^c= 4 B.) 4^c = e C.) c^4= e D.) e^4 = c

Given the exponential equation 3x = 243, what is the logarithmic form of the equation in base 10?

Asked by maham237 @ 17/12/2020 in Mathematics viewed by 300 persons

Finding the equation of an exponential function from a graph

Asked by admin @ 26/11/2021 in Mathematics viewed by 314 persons

Write an equation for the exponential function represented in the table and graph below.

What is the exponential regression equation that fits these data

Asked by maham237 @ 24/06/2021 in Mathematics viewed by 349 persons

What is the true solution to the logarithmic equation below

Asked by maham237 @ 20/05/2021 in Mathematics viewed by 443 persons

log4[log4(2x]=1 x=2 x=8 x=65 x=128

Use natural logarithms to solve the equation. round to the nearest thousandth. 6e4x - 2 = 3

Asked by maham237 @ 25/12/2020 in Mathematics viewed by 363 persons

Use natural logarithms to solve the equation. Round to the nearest thousandth. 6e4x - 2 = 3 A. –0.448 B. 0.327 C. 0.067 D. –0.046

For the graphed exponential equation, calculate the average rate of change from x = −4 to x = 1.

Asked by maham237 @ 22/12/2020 in Mathematics viewed by 326 persons

For the graphed exponential equation, calculate the average rate of change from x = −4 to x = 4. Possible answer choices being; -1/3, -5/8, -4/5, -7/8

For the graphed exponential equation, calculate the average rate of change from x = −3 to x = 0.

Asked by maham237 @ 22/12/2020 in Mathematics viewed by 376 persons

For the graphed exponential equation, calculate the average rate of change from x = −2 to x = 1. see attached graph three halves seven thirds 3 4

How to change an exponential equation to a log equation

Asked by admin @ 11/11/2021 in Mathematics viewed by 249 persons

Use complete sentences to explain the process of converting a logarithmic equation to its equivalent exponential form to obtain solutions to the graph of the logarithmic equation.