1 Answer

Ask a Question

Eyal Leshem · Answer 1 · 2023-04-22T15:14:24+0000

Answer:

The expression is given below as

$\log_(12)7$

Let the expression above be equal to x

$\log_(12)7=x$

Concept:

Apply the logarithm change of base formula below

$\begin{gathered} \log_aB=x \\ B=a^x \end{gathered}$

By applying the concept above we will have

$\begin{gathered} \operatorname{\log}_(12)7=x \\ 12^x=7 \\ take\text{ ln of both sides } \\ ln12^x=ln7 \\ xln12=ln7 \\ divide\text{ both sides by ln 12} \\ (xln12)/(ln12)=(ln7)/(ln12) \\ x=(ln7)/(ln12) \\ x=0.7831 \\ x\approx0.78\left(nearest\text{ hundredth\rparen}\right? \end{gathered}$

Hence,

The final answer is

$\Rightarrow0.78$

0 Comments

Please log in or register to add a comment.

Please log in or register to answer this question.

1 Answer

0 Comments

Please log in or register to add a comment.

Other Questions