Question

-Exponential and Logarithmic Functions- Solve the following, round the answer to the nearest hundredth.

Answer 1

x = 1.70

Step-by-step explanation:

We were given that:

`\begin{gathered} 5^x=15.4 \\ \text{Take the natural logarithm of both sides, we have:} \\ \ln 5^x=\ln 15.4 \\ x\cdot\ln 5=\ln 15.4 \\ \text{Divide both sides by ''ln5'', we have:} \\ x=(\ln 15.4)/(\ln 5)=1.699 \\ x=1.699\approx1.70 \\ x=1.70 \\ \\ \therefore x=1.70 \end{gathered}`

Therefore, x = 1.70