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Solve for x: 3^x = 27. Simplify 125.

May 15, 2026Mathematics

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Answer

\text{3}

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Here are the solutions to your math problems:

1. If $3^x = 27$ , what is $x$ ?

Express 27 as a power of 3.
$27 = 3^3$
Equate the exponents since the bases are the same.
$3^x = 3^3$ $x = 3$
The value of $x$ is $\boxed{\text{3}}$ .

2. Simplify

i) $\log 125$
Express 125 as a power of its prime factor.
$125 = 5^3$

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