What is the answer to 16*10^{5x}=96 ?

The answer to 16*10^{5x}=96 is x=(ln(6))/(5ln(10))

Solve for x: 16*10^{5x}=96

The solution is x=(ln(6))/(5ln(10))

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16 \cdot 1 0^{5 x} = 96

x = \frac{ln ( 6 )}{5 ln ( 10 )}

Decimal

x = 0.15563 \dots

Solution steps

16 \cdot 1 0^{5 x} = 96

Divide both sides by

16

1 0^{5 x} = 6

Apply exponent rules

5 x ln (10) = ln (6)

Solve

5 x ln (10) = ln (6) : x = \frac{ln ( 6 )}{5 ln ( 10 )}

x = \frac{ln ( 6 )}{5 ln ( 10 )}

5^{x + 1} = 7

5^{x} - 0. 2^{x} = 4.8

2 e^{2 x} = 97

70 = 140 e^{30 x}

2^{3 x + 1} = 256

What is the answer to 16*10^{5x}=96 ?
The answer to 16*10^{5x}=96 is x=(ln(6))/(5ln(10))
Solve for x: 16*10^{5x}=96
The solution is x=(ln(6))/(5ln(10))