Question

Solve 3log2^x=27. the ans for this is 8 please help me slove this

Answer 1

So we have the equation $3log2^{x}=27$, and we want to solve for $x$.

First, we are going to apply the log of a power rule: $loga^{x}=xloga$
$3log2^{x}=27$
$3xlog2=27$

Next, we are going to divide both sides of the equation by $3log2$:
$3xlog2=27$
$\frac{3xlog2}{3log2} = \frac{27}{3log2}$
$x= \frac{27}{3log2}$

Last but not least, we can use a calculator to evaluate the right hand side of the equation:
$x= \frac{27}{3log2}$
$x=29.8974$

We can conclude that the solution of our logarithmic function is $x=29.8974$. I don't know who told you that the correct answer is 8, but they is wrong.