What is the answer to 0.553=-log_{10}((70)/C) ?

The answer to 0.553=-log_{10}((70)/C) is C=70*10^{0.553}

Solve for C: 0.553=-log_{10}((70)/C)

The solution is C=70*10^{0.553}

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0.553 = - lo g_{10} (\frac{70}{C})

C = 70 \cdot 1 0^{0.553}

Decimal

C = 250.09098 \dots

Solution steps

0.553 = - lo g_{10} (\frac{70}{C})

Move

lo g_{10} (\frac{70}{C})

to the left side

0.553 + lo g_{10} (\frac{70}{C}) = 0

Move

0.553

to the right side

lo g_{10} (\frac{70}{C}) = - 0.553

Apply log rules

\frac{70}{C} = 1 0^{- 0.553}

Multiply both sides by

C

\frac{70}{C} C = 1 0^{- 0.553} C

Simplify

1 0^{- 0.553} C : \frac{1}{1 0 ^{0.553}} C

70 = \frac{1}{1 0 ^{0.553}} C

Solve

70 = \frac{1}{1 0 ^{0.553}} C : C = 70 \cdot 1 0^{0.553}

C = 70 \cdot 1 0^{0.553}

Verify Solutions:

C = 70 \cdot 1 0^{0.553}

True

The solution is

C = 70 \cdot 1 0^{0.553}

lo g_{b} (5) = 1.4

lo g_{3} (x - 19) = 4

4 ln (3 x) = - 8

lo g_{10} (x) 49 = 2

- 3 = 20 lo g_{10} (2 x)

What is the answer to 0.553=-log_{10}((70)/C) ?
The answer to 0.553=-log_{10}((70)/C) is C=70*10^{0.553}
Solve for C: 0.553=-log_{10}((70)/C)
The solution is C=70*10^{0.553}