Solve the exponential equation 3^x=81 by expressing each side as a power of t

ankarskogC

ankarskogC

Answered question

2021-09-28

Solve the exponential equation 3x=81 by expressing each side as a power of the same base and then equating exponents.

Answer & Explanation

pierretteA

pierretteA

Skilled2021-09-29Added 102 answers

Given:
3x=81
We can write,
81=3×9
=3×3×3
81=33
Therefore, we have
3x=33
Using, if am=an,a0 then m=n, we get
x=3
Thus, the solution of the equation 3x=81 is x=3

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