We read your photo as:

Solve the logarithmic equation: 2 _x (33/8) = 6

April 22, 2026Mathematics

ScanSolve AI Answer

Answer

\text{3^{1/8}}

6 steps

Let's solve this logarithmic equation.

Write down the given equation.
$2 \log_x (3^{3/8}) = 6$
Divide both sides by 2 to isolate the logarithm.
$\log_x (3^{3/8}) = \frac{6}{2}$ $\log_x (3^{3/8}) = 3$
Apply the power rule of logarithms, which states that $\log_b (M^p) = p \log_b (M)$ .
$\frac{3}{8} \log_x (3) = 3$
Multiply both sides by $\frac{8}{3}$ to isolate $\log_x (3)$ .
$\log_x (3) = 3 \times \frac{8}{3}$ $\log_x (3) = 8$
Convert the logarithmic equation to its exponential form.
If $\log_b A = C$ , then $b^C = A$ .
$x^8 = 3$
Solve for $x$ by taking the eighth root of both sides.
$x = 3^{1/8}$
The value of $x$ is \boxed{\text{3^{1/8}}}.

Was this helpful?

A new problem that tests the same skill.

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question

Browse by topic:Pre-Calculus

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.