Solve for x. 11^(6x)=8^(x-5)

MISA6zh

MISA6zh

Answered question

2022-11-02

Solve for x.
11 6 x = 8 x 5

Answer & Explanation

okuzala3ul

okuzala3ul

Beginner2022-11-03Added 14 answers

Given that,
11 6 x = 8 x 5
Taking logarithm on both sides we get
log 10 11 6 x = log 10 8 x 5 6 x log 10 11 = ( x 5 ) log 10 8 6 x log 10 11 = x log 10 8 5 log 10 8 6 x log 10 11 x log 10 8 = 5 log 10 8 x { 6 log 10 11 log 10 8 } = 5 log 10 8 x = 5 log 10 8 6 log 10 11 log 10 8

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