Solve.
\[
\ln (9 x+12)=\ln (8 x+5)
\]
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. $x=$ (Simplify your answer. Use a comma to separate answers as needed.)
B. There is no solution.

Answer

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Answer

The solution to the equation is $\boxed{-7}$.

Steps

Step 1 ：The natural logarithm function is a one-to-one function, which means that if $\ln(a) = \ln(b)$, then $a = b$. Therefore, we can set the arguments of the logarithms equal to each other and solve for $x$.

Step 2 ：So, we have $9x + 12 = 8x + 5$.

Step 3 ：Solving for $x$, we get $x = -7$.

Step 4 ：The solution to the equation is $\boxed{-7}$.

Solve.\[\ln (9 x+12)=\ln (8 x+5)\]Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. $x=$ (Simplify your answer. Use a comma to separate answers as needed.)B. There is no solution.

Answer

Popular Problems

Solve.
\[
\ln (9 x+12)=\ln (8 x+5)
\]
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. $x=$ (Simplify your answer. Use a comma to separate answers as needed.)
B. There is no solution.