Algebra Examples

Solve for x 10^x=5
10x=5
Step 1
Take the base 10 logarithm of both sides of the equation to remove the variable from the exponent.
log(10x)=log(5)
Step 2
Expand the left side.
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Step 2.1
Expand log(10x) by moving x outside the logarithm.
xlog(10)=log(5)
Step 2.2
Logarithm base 10 of 10 is 1.
x1=log(5)
Step 2.3
Multiply x by 1.
x=log(5)
x=log(5)
Step 3
The result can be shown in multiple forms.
Exact Form:
x=log(5)
Decimal Form:
x=0.69897000
10x=5
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