What is the answer to 4log_{10}(2n)-7=-11 ?

The answer to 4log_{10}(2n)-7=-11 is n= 1/20

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4log_{10}(2n)-7=-11

4 lo g_{10} (2 n) - 7 = - 11

n = \frac{1}{20}

Decimal Notation

n = 0.05

Solution steps

4 lo g_{10} (2 n) - 7 = - 11

Move

7

to the right side

4 lo g_{10} (2 n) = - 4

Divide both sides by

4

lo g_{10} (2 n) = - 1

Apply log rules

2 n = \frac{1}{10}

Solve

2 n = \frac{1}{10} : n = \frac{1}{20}

n = \frac{1}{20}

Verify Solutions:

n = \frac{1}{20}

True

The solution is

n = \frac{1}{20}

lo g_{10} (x) = 5.6

lo g_{10} (x) = 5 - x

lo g_{6} (7 x) + 6 = 8

lo g_{8} (n) = 3

lo g_{b} (x) = 6.92

What is the answer to 4log_{10}(2n)-7=-11 ?
The answer to 4log_{10}(2n)-7=-11 is n= 1/20
Solve for n: 4log_{10}(2n)-7=-11
The solution is n= 1/20