I need help solving a logarithm equation. these were my steps. Can someone tell me where have i goe wrong since the answer is 1/4 sqrt{ log( sqrt(10)a)) = 1/2

Keshawn Moran

Keshawn Moran

Answered question

2022-11-17

I need help solving a logarithm equation.
these were my steps. Can someone tell me where have i goe wrong since the answer is 1 4
log ( 10 a ) = 1 2
1 2 log ( 10 a ) = log 10
log ( 10 a ) 1 2 = log 1 0 because ( log a x n = n log a x )
( 10 a ) 1 2 = 10 1 2 (squaring)
10 1 2 a = 10 division by 10 1 2
a = 10 1 1 2
a = 10

Answer & Explanation

Julius Haley

Julius Haley

Beginner2022-11-18Added 19 answers

log ( 10 a ) = 1 2
log ( 10 a ) = 1 4
10 a = 10 1 / 4
a = 10 1 / 4
ajumbaretu

ajumbaretu

Beginner2022-11-19Added 3 answers

The first step you take is incorrect.
log ( 10 a ) = 1 2 log ( 10 a ) = 1 4 log ( 10 a ) = log ( 10 1 4 ) 10 a = 10 1 4 a = 10 1 4

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