Solve for $x$ :
\[
3^{x}=26
\]
\[
x=
\]
You may enter the exact value or round to 4 decimal places.

Answer

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Answer

Rounding to 4 decimal places, the solution to the equation $3^{x}=26$ is $x=\boxed{2.9656}$

Steps

Step 1 ：The equation is in the form of $a^{x}=b$. To solve for $x$, we can take the natural logarithm (ln) of both sides of the equation. This will give us $x=\frac{\ln(b)}{\ln(a)}$.

Step 2 ：In this case, $a=3$ and $b=26$. We can substitute these values into the equation to find $x$.

Step 3 ：$x = \frac{\ln(26)}{\ln(3)}$

Step 4 ：Calculating the above expression gives us $x = 2.96564727304425$

Step 5 ：Rounding to 4 decimal places, the solution to the equation $3^{x}=26$ is $x=\boxed{2.9656}$

Solve for $x$ :\[3^{x}=26\]\[x=\]You may enter the exact value or round to 4 decimal places.

Answer

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Solve for $x$ :
\[
3^{x}=26
\]
\[
x=
\]
You may enter the exact value or round to 4 decimal places.