What is the answer to 8*10^{n+4}=42 ?

The answer to 8*10^{n+4}=42 is n=(ln(21/4))/(ln(10))-4

Solve for n: 8*10^{n+4}=42

The solution is n=(ln(21/4))/(ln(10))-4

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8 \cdot 1 0^{n + 4} = 42

n = \frac{ln ( \frac{21}{4} )}{ln ( 10 )} - 4

Decimal Notation

n = - 3.27984 \dots

Solution steps

8 \cdot 1 0^{n + 4} = 42

Divide both sides by

8

1 0^{n + 4} = \frac{21}{4}

Apply exponent rules

(n + 4) ln (10) = ln (\frac{21}{4})

Solve

(n + 4) ln (10) = ln (\frac{21}{4}) : n = \frac{ln ( \frac{21}{4} )}{ln ( 10 )} - 4

n = \frac{ln ( \frac{21}{4} )}{ln ( 10 )} - 4

3^{2 x - 1} = 2100

10.5 = 15 (1 - e^{- (k) 40})

20 e^{2 x} - 40 e^{- x} = 0

1 0^{3 x} = 100000

2 e^{2 x} x^{6} - 6 e^{2 x} x^{5} = 0

What is the answer to 8*10^{n+4}=42 ?
The answer to 8*10^{n+4}=42 is n=(ln(21/4))/(ln(10))-4
Solve for n: 8*10^{n+4}=42
The solution is n=(ln(21/4))/(ln(10))-4