Question 1032490
Assume this is the problem
{{{7^((x-8)) + 20 = 295}}}
subtract 20 from both sides
{{{7^((x-8)) = 275}}}
using natural logs
{{{ln(7^((x-8))) = ln(275)}}}
the log equiv of exponents
(x-8)*ln(7) = ln(275)
divide both sides by ln(7)
x - 8 = {{{ln(275)/ln(7)}}}
use the calc
x - 8 = 2.88645
x = 2.88645 + 8
x = 10.88645
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You can confirm this, replace x with 10.88645 in the original equation, use your calc