Question

If log10 (3)=0.4771,find the value of log10(81)

Answer 1

$\underline{\textsf{Given:}}$

$\mathsf{\log_{10}=0.4771}$

$\underline{\textsf{To find:}}$

$\textsf{The value of}\;\mathsf{\log_{10}(81)}$

$\underline{\textsf{Solution:}}$

$\textsf{Consider,}$

$\mathsf{\log_{10}81}$

$\mathsf{=\log_{10}3^4}$

$\textsf{Using Power rule of logarithm,}$

$\boxed{\mathsf{\log_aM^n=n\;\log_aM}}$

$\mathsf{=4\;\log_{10}3}$

$\mathsf{=4{\times}0.4771}$

$\mathsf{=1.9084}$

$\implies\boxed{\mathsf{\log_{10}81=1.9084}}$

$\underline{\textsf{Answer:}}$

$\textsf{The value of}\;\mathsf{\log_{10}(81)}\;\textsf{is 1.9084}$

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Answer 2

Answer:

Step-by-step explanation:

0.9