CAT 2019 Logarithms Question (Medium)

Question

If , then the value of is

Accepted Answer

Step 1 We are given 5.55 x 0.555 y 1000 We need to find x - y --- Step 2 From 5.55 x 1000 Take log x log 5.55 log 5.55 since . Similarly y log 0.555 --- Step 3 We need x - y So 3 - 3 3 log 5.55 - log 0.555 3 times log left 0.555 right Compute Thus 3 times log 10 3 times 1 3 --- Final Answer Option B

CAT 2019

Quantitative

Logarithms

Medium

If $(5.55)^x = (0.555)^y = 1000$ , then the value of $\frac{1}{x} - \frac{1}{y}$ is

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