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Popular >

4log_{x}(64)=x

Solution

4 lo g_{x} (64) = x

Solution

x = 8

Solution steps

4 lo g_{x} (64) = x

Divide both sides by

4

lo g_{x} (64) = \frac{x}{4}

If

f (x) = g (x),

then

a^{f (x)} = a^{g (x)}

x^{l o g_{x} (64)} = x^{\frac{x}{4}}

Simplify

x^{l o g_{x} (64)} : 64

64 = x^{\frac{x}{4}}

Solve

64 = x^{\frac{x}{4}} : x = 8

x = 8

Verify Solutions:

x = 8

True

The solution is

x = 8

Popular Examples

log_{2}(x-4)+log_{2}(x)=5

lo g_{2} (x - 4) + lo g_{2} (x) = 5

log_{2}(16)=log_{4}(x)

lo g_{2} (16) = lo g_{4} (x)

8 = 5 - 4 ln (3 t - 4)

log_{3}(x)=1+log_{3}(20)

lo g_{3} (x) = 1 + lo g_{3} (20)

ln (- x) = - 2

Frequently Asked Questions (FAQ)

What is the answer to 4log_{x}(64)=x ?
The answer to 4log_{x}(64)=x is x=8
Solve for x: 4log_{x}(64)=x
The solution is x=8