# Step-by-step Solution

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## Step-by-step Solution

Problem to solve:

$26^{9x+5}=1$

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$\log \left(26^{\left(9x+5\right)}\right)=\log \left(1\right)$

Learn how to solve equations problems step by step online. Solve the equation 26^(9x+5)=1. We can take out the unknown from the exponent by applying logarithms in base 10 to both sides of the equation. Evaluating the logarithm of base 10 of 1. Using the power rule of logarithms: \log_a(x^n)=n\cdot\log_a(x). Evaluating the logarithm of base 10 of 26.

$x=-\frac{5}{9}$
$26^{9x+5}=1$