Question

Find the value of x. Log x8=0.5

Answer 1

Answer 64= x
Explanation: sorry

Answer 2

Answer: x = 64

Step-by-step explanation:

First you need to know that if we have: $log_b(y)=x$ this is equal to $y=b^x$

So, $log_x8=0.5$ can be rewritten as: $8=(x)^0^.^5$

$0.5$ can be rewritten as: $\frac{1}{2}$ and why did I do this? you may ask. This way I can rewrite the exponent as a square root, as following;

$8=(x)^\frac{1}{2}$

The property says that: $\sqrt[n]{x^m}=x^\frac{m}{n}$

So, we can rewrite our operation as;

$8=\sqrt[]{x}$

Now let's raise both sides to the power of 2, to get rid of the square root.

$(8)^2=(\sqrt[]{x})^2$

$64=x$