How to solve common log problem given the following with the help of calculator? log_(10)(x+8)+6=8 log_(10)(x+8)=2 10^2=x+8

Cael Dickerson

Cael Dickerson

Answered question

2022-11-08

How to solve common log problem given the following with the help of calculator?
the question is
log 10 ( x + 8 ) + 6 = 8
log 10 ( x + 8 ) = 2
10 2 = x + 8
I just turned it into exponential form. Now my question is if i did this right at all? and if i did how would i go on solving it?

Answer & Explanation

Phiplyrhypelw0

Phiplyrhypelw0

Beginner2022-11-09Added 24 answers

In solving equations involving exponentials and logarithms it's important to remember they are inverse operations of each other, so exponentiating both sides we get
log a x = c a log a x = a c x = a c
or taking the logarithm of both sides we get
a x = c log a ( a x ) = log a c x log a ( a ) = log a c x = log a c

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