Solve the exponential equation by expressing each side as a power of the same ba

Chaya Galloway

Chaya Galloway

Answered question

2021-09-16

Solve the exponential equation by expressing each side as a power of the same base and then equating exponents.
6x34=6

Answer & Explanation

Yusuf Keller

Yusuf Keller

Skilled2021-09-17Added 90 answers

We have to solve the exponential equation by expressing each side as a power of the same base and then equating exponents where equation is:
6x34=6
We know that
x=x12
Therefore,
6x34=6
6x34=612
We know exponent rule,
if am=an then m=n
We have from above step,
6x34=612
Therefore,
x34=12
2(x3)=1×4
2x6=4
2x=4+6
2x=10
x=102
=5
Hence, solution of the equation is 5

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