91Ó°ÊÓ

The given logarithmic expression is$\frac{\log 15+\log 20}{\ln 15+\ln 20}$.

Apply a scientific calculator.

Press$\left(\ln \right)$button and write the value of $x$ in $()$ after $\left(\ln \right)$.

Press$\left(\log \right)$button and write the value of $x$ in $()$ after $\left(\log \right)$.

Press $\left(=\right)$ button on the calculator.

It will give the exact value of the logarithmic number.

Round the value upto three decimal places.

Consider the given logarithm.

$\frac{\log 15+\log 20}{\ln 15+\ln 20}$

Now, apply a scientific calculator.

Press$\left(\log \right)$button and write the number$15$ in $()$ after $\left(\log \right)$.

Then press $\left(+\right)$ button.

Press$\left(\log \right)$button and write the number$20$ in $()$ after $\left(\log \right)$.

Then press $\left(÷\right)$ button.

Press$\left(\ln \right)$button and write the number$15$ in $()$ after $\left(\ln \right)$.

Then press $\left(+\right)$ button.

Press $\left(\ln \right)$button and write the number $20$in $()$ after $\left(\ln \right)$.

Press $\left(=\right)$ button on the calculator.

The exact value of $\frac{\log 15+\log 20}{\ln 15+\ln 20}$ will be

$0.4342944819$

Round the value upto three decimal places.

$0.434$

The value rounded to three decimal places is,$x≈0.434$.