Question

The coefficient of $x = \log_{5}1000 = 3\log_{5}10 = 3 + 3\log_{5}2 = 3 + \log_{5}8$ in the expansion of the expression $y = \log_{7}2058 = \log_{7}(7^{3}.6) = 3 + \log_{7}6$ is.

• A. –15/16
• B. 15/16
• C. –16/15
• D. 16/15

Answer 1

Answer: (B)

15/16

Answer 2

$\Rightarrow$

$\ln a + \ln b = \frac{k}{xy}$

Coefficient of $\frac{k}{x} + \frac{k}{y} = \frac{k}{xy}$

$\Rightarrow$.