Solve for $x$.
\[
16^{6 x}=11^{-x-3}
\]

Write the exact answer using either base-10 or base- $e$ logarithms.
\[
x=\square
\]
$\square \log \square$
$\square \ln \square$
No
solution
$x$
5

Answer

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Answer

$\boxed{x = -\frac{3 \log 11}{\log 184549376}}$ is the solution to the equation.

Steps

Step 1 ：The given equation is in the form of $a^{bx} = c^{dx}$, which can be solved by taking the logarithm on both sides. This will allow us to bring down the exponents and solve for $x$.

Step 2 ：Taking the logarithm of both sides of the equation $16^{6x} = 11^{-x - 3}$ gives us the equation $x = -\frac{3 \log 11}{\log 184549376}$.

Step 3 ：$\boxed{x = -\frac{3 \log 11}{\log 184549376}}$ is the solution to the equation.

Solve for $x$.\[16^{6 x}=11^{-x-3}\] Write the exact answer using either base-10 or base- $e$ logarithms.\[x=\square\]$\square \log \square$$\square \ln \square$Nosolution$x$5

Answer

Popular Problems

Solve for $x$.
\[
16^{6 x}=11^{-x-3}
\]

Write the exact answer using either base-10 or base- $e$ logarithms.
\[
x=\square
\]
$\square \log \square$
$\square \ln \square$
No
solution
$x$
5