Question

Solve for x
Simplify as much as possible

Answer 1

Obtained by rewriting it in exponential form and simplifying, the solution to the logarithmic equation
`\(\log_(64)x = (1)/(2)\)` is x = 8,

How to solve for x in the given logarithm?

Exponential form is a mathematical expression that represents a number raised to a certain power, denoted as
`\(a^b\)`, where a is the base and b is the exponent.

Given the equation
`\(\log_(64)x = (1)/(2)\)`, you can rewrite it in exponential form:

`\[64^{(1)/(2)} = x.\]`

Now, simplify the expression on the left side by evaluating
`\(64^{(1)/(2)}\)`:

8 = x.

So, the solution to the equation is x = 8. This is because
`\(64^{(1)/(2)}\)` is equal to the square root of 64, which is 8. Therefore, x is 8.