Logarithms Practice Test 1

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Question : 29 of 40

Marks: +1, -0

If

\log_a x = 2

and

\log_b x = 3

, then find the value of

\log_(a/b)x .

6
1
0
5
Undefined

Solution:

\log_(a/b)x

={\log x}/{\log(a/b)}

= {\log_x x}/{\log _xa-\log_xb }

=1/(1/{\log_ax}-1/{\log_bx})

=1/{1/2-1/3}

=1/({3-2}/6)

= 6

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