Question

Evaluate: ${\left(6.32\right)}^2\times \sqrt[4]{483.94}$

[Hint: Use logarithm tables]

Answer 1

Let $y={\left(6.32\right)}^2\times \sqrt[4]{483.94}$

Taking $\log$ on both the sides, we get

$\ln y=\ln ({\left(6.32\right)}^2\times \sqrt[4]{483.94})$

$\Rightarrow \ln y=\ln {\left(6.32\right)}^2+\ln \sqrt[4]{483.94}$

$\Rightarrow \ln y=2\ln 6.32+\frac{1}{4}\ln 83.94$

$\Rightarrow \ln y=3.687+1.107$

$\Rightarrow \ln y=4.794$

$\Rightarrow y=$ anti $\ln 4.794$

$\Rightarrow y=120.88$

which can be approximated to $121$.