Solve the exponential equation 6^{(x-3)/4}=\sqrt{6} by expressing each sid

Marvin Mccormick

Marvin Mccormick

Answered question

2021-09-29

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

Answer & Explanation

doplovif

doplovif

Skilled2021-09-30Added 71 answers

Given: 6x34=6
for solving this equation we make base same both side then equate power
we know that
6=(6)2
so,
in place of 6 put (6)2
((6)2)x34=6
(6)(2×x34)=6
(6)x32=(6)1
now here, base is same so power also be same
x32=1
x3=2
x=3+2
x=5
hence, solution of given expression is 5.

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