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

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

Answer

Expert–verified

Hide Steps

Answer

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

Steps

Step 1 ：The given equation is in the form of $a^{b x} = c^{d x}$ , 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 $16^{6 x} = 11^{- x - 3}$ gives us the equation $x = - \frac{3 \log 11}{\log 184549376}$ .

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

Solve for x.166x=11−x−3 Write the exact answer using either base-10 or base- e logarithms.x=◻◻log⁡◻◻ln⁡◻Nosolutionx5

Answer

Popular Problems

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

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