Logarithms Practice Test 2

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Question : 7 of 39

Marks: +1, -0

If

x = \log_6 \log_7(117649)

, then find the value of

\log_5 5^{2^x}

.

0
1
2
3
Undefined

Solution:

x = \log_6 \log_7(117649)

x = \log_6 (6\log_7 7)

x = \log_6 6

x = 1

Now,

\log_5 5^{2^x}=\log_5 5^{2^1}

=\log_5 5^{2 }

=2\log_5 5 =2×1=2

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