Question

10 to the power x is equal to 64 find the value of x ​

Answer 1

Answer:

x=1.8061

Step-by-step explanation:

10^x=64

Take the base 10

logarithm of both sides of the equation to remove the variable from the exponent.

log(10x)=log(64)

Use logarithm rules to move x out of the exponent.

x log(10)=log(64)

Logarithm base 10 of 10 is 1

.x⋅1=log(64)

Multiply x by 1

.x=log(64)

The result can be shown in multiple forms.

Exact Form:x=log(64)

Decimal Form: x=1.80617997…

Hope it helps

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