What is the answer to 16^x=1000000000 ?

The answer to 16^x=1000000000 is x=(ln(1000000000))/(4ln(2))

Solve for x: 16^x=1000000000

The solution is x=(ln(1000000000))/(4ln(2))

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1 6^{x} = 1000000000

x = \frac{ln ( 1000000000 )}{4 ln ( 2 )}

Decimal Notation

x = 7.47433 \dots

Solution steps

1 6^{x} = 1000000000

Apply exponent rules

x ln (16) = ln (1000000000)

Solve

x ln (16) = ln (1000000000) : x = \frac{ln ( 1000000000 )}{4 ln ( 2 )}

x = \frac{ln ( 1000000000 )}{4 ln ( 2 )}

55 e^{0.36 x} = 544

7^{2 x + 8} = 1

2^{x + 3} = \frac{1}{4}

2^{x + 3} = \frac{1}{8}

x, 3^{x} \cdot 2^{x} = 1

What is the answer to 16^x=1000000000 ?
The answer to 16^x=1000000000 is x=(ln(1000000000))/(4ln(2))
Solve for x: 16^x=1000000000
The solution is x=(ln(1000000000))/(4ln(2))