What is the answer to x/(100-x)=10^{4.5-7.4} ?

The answer to x/(100-x)=10^{4.5-7.4} is x=0.12573…

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x/(100-x)=10^{4.5-7.4}

\frac{x}{100 - x} = 1 0^{4.5 - 7.4}

x = 0.12573 \dots

Solution steps

\frac{x}{100 - x} = 1 0^{4.5 - 7.4}

Multiply both sides by

100 - x

x = \frac{100 - x}{1 0 ^{2.9}}

Multiply both sides by

1 0^{2.9}

794.32823 \dots x = 100 - x

Move

x

to the left side

795.32823 \dots x = 100

Divide both sides by

795.32823 \dots

x = 0.12573 \dots

Verify Solutions

Find undefined (singularity) points:

x = 100

Combine undefined points with solutions:

x = 0.12573 \dots

\frac{2}{3 x} = - \frac{1}{6}

\frac{11.6}{x} 100 = 1, 8

\frac{15 + 7 x}{2 x} = x

\frac{8 - 1}{3 x} = 16

\frac{6}{5} = \frac{10}{x}

What is the answer to x/(100-x)=10^{4.5-7.4} ?
The answer to x/(100-x)=10^{4.5-7.4} is x=0.12573…
Solve for x: x/(100-x)=10^{4.5-7.4}
The solution is x=0.12573…