What is the answer to 4.7=5-log_{10}((0.5)/x) ?

The answer to 4.7=5-log_{10}((0.5)/x) is x= 1/(2*10^{0.3)}

Solve for x: 4.7=5-log_{10}((0.5)/x)

The solution is x= 1/(2*10^{0.3)}

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4.7 = 5 - lo g_{10} (\frac{0.5}{x})

x = \frac{1}{2 \cdot 1 0 ^{0.3}}

Decimal Notation

x = 0.25059 \dots

Solution steps

4.7 = 5 - lo g_{10} (\frac{0.5}{x})

Move

lo g_{10} (\frac{0.5}{x})

to the left side

4.7 + lo g_{10} (\frac{0.5}{x}) = 5

Move

4.7

to the right side

lo g_{10} (\frac{0.5}{x}) = 0.3

Apply log rules

\frac{0.5}{x} = 1 0^{0.3}

Multiply both sides by

x

\frac{0.5}{x} x = 1 0^{0.3} x

Simplify

0.5 = 1 0^{0.3} x

Solve

0.5 = 1 0^{0.3} x : x = \frac{1}{2 \cdot 1 0 ^{0.3}}

x = \frac{1}{2 \cdot 1 0 ^{0.3}}

Verify Solutions:

x = \frac{1}{2 \cdot 1 0 ^{0.3}}

True

The solution is

x = \frac{1}{2 \cdot 1 0 ^{0.3}}

lo g_{6} (x) = 5

y, x = ln (5 y - 1)

lo g_{2} (- 5 x) + lo g_{2} (9) = 2

lo g_{6} (x^{3}) = 3

y, ln (y) = 3 x

What is the answer to 4.7=5-log_{10}((0.5)/x) ?
The answer to 4.7=5-log_{10}((0.5)/x) is x= 1/(2*10^{0.3)}
Solve for x: 4.7=5-log_{10}((0.5)/x)
The solution is x= 1/(2*10^{0.3)}