Solve the equation. 4^{x-3}=16

a2linetagadaW 2021-09-25 Answered

Solve the equation.

4^{x - 3} = 16

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Expert Answer

FieniChoonin

Answered 2021-09-26 Author has 102 answers

Step 1
We have to solve the equation:
$4^{x - 3} = 16$
Rewriting the equation,
$4^{x - 3} = 16$
$= 4 \times 4$
$4^{x - 3} = 4^{2}$
We know that
If $a^{m} = a^{n}$ then m=n.
Step 2
Therefore for the given condition,
$4^{x - 3} = 4^{2}$
We can write,
$x - 3 = 2$
$x = 2 + 3$
$= 5$
Hence, solution of the equation is x=5.

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