CAT 2017 Logarithms Question (Hard)

Question

The value of is equal to

Accepted Answer

Step 1 We start with the expression log_ 0.008 log_ 81 - 7 We will break down each logarithmic term. First, consider . Using the change of base formula, we have log_ 0.008 log 0.008 Next, we can express as log log 5 1 2 2 log 5 Thus, log_ 0.008 log 0.008 Now, we need to calculate . We can rewrite as

CAT 2017

Quantitative

Logarithms

Hard

The value of $\log_{0.008} \sqrt{5} + \log_{\sqrt{3}} 81 - 7$ is equal to :

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