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

Isa Trevino

Isa Trevino

Answered question

2021-09-22

Solve the exponential equation by expressing each side as a power of the same base and then equating exponents.
31x=127

Answer & Explanation

ensojadasH

ensojadasH

Skilled2021-09-23Added 100 answers

Our Aim is to solve the exponential equation by express sing each side as a power of the same base and then equating exponents:
31x=127(i)
Since, from equation - (i), we have:
31x=127(i)
3x+1=127
Solving exponent by taking logartihm of the above equation:
log[3x+1]=log[127]
(x+1)×log(3)=log[127]
(x+1)=log[127]log(3)
(x+1)=3
x=31
x=4
Anwer -x=-4

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