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
use natural logs
{{{ln(4^((1-x))) = ln(315)}}}
the log equiv of exponents
(1-x)ln(4) = ln(315}
(1-x) = {{{ln(315)/ln(4)}}}
use you calc
1 - x = 4.1496
-x = 4.1496 - 1
-x = 3.1496
mult both sides by -1
x = -3.1496
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Check this on your calc, enter: 4^(1-(-3.1496))