Solve the equation algebraically using logarithms. Round to the nearest hundredth 7^(3x+9)=12

Madilyn Quinn

Madilyn Quinn

Answered question

2022-10-20

Solve the equation algebraically using logarithms. Round to the nearest hundredth
7 3 x + 9 = 12

Answer & Explanation

bigfreakystargl

bigfreakystargl

Beginner2022-10-21Added 23 answers

Any exponential function can be represented in logarithmic form, as logarithmic functions are the inverses of exponential functions. In the same way, all logarithmic functions can be represented as exponential functions.
Given equation is
7 3 x + 9 = 12
Taking log on both sides,
log ( 7 3 x + 9 ) = log ( 12 ) ( 3 x + 9 ) log 7 = log 12 ( 3 x + 9 ) = log 12 log 7 3 x + 9 = 1.277 3 x = 1.227 9 x = 7.773 3 = 2.591 2.59
The required solution is x = 2.59

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