SOLUTION: Solve the exponential equation algebraically. Approximate the result to three decimal places. (Enter your answers as a comma-separated list.) 4^(1 − x) = 315

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Question 962607: Solve the exponential equation algebraically. Approximate the result to three decimal places. (Enter your answers as a comma-separated list.)
4^(1 − x) = 315
Found 3 solutions by ankor@dixie-net.com, MathLover1, MathTherapy:
Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
Solve the exponential equation algebraically. Approximate the result to three decimal places. (Enter your answers as a comma-separated list.)
4^(1 − x) = 315
use natural logs

the log equiv of exponents
(1-x)ln(4) = ln(315}
(1-x) =
use you calc
1 - x = 4.1496
-x = 4.1496 - 1
-x = 3.1496
mult both sides by -1
x = -3.1496
:
:
Check this on your calc, enter: 4^(1-(-3.1496))
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

.......use log to solve






...exact solution




or

Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!

Solve the exponential equation algebraically. Approximate the result to three decimal places. (Enter your answers as a comma-separated list.)
4^(1 − x) = 315
 ------- Exponential form

 ----- Logarithmic form

, or , or  

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