What is the answer to 5(2^x)=240 ?

The answer to 5(2^x)=240 is x=(ln(48))/(ln(2))

Solve for x: 5(2^x)=240

The solution is x=(ln(48))/(ln(2))

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5 (2^{x}) = 240

x = \frac{ln ( 48 )}{ln ( 2 )}

Decimal Notation

x = 5.58496 \dots

Solution steps

5 (2^{x}) = 240

Divide both sides by

5

2^{x} = 48

Apply exponent rules

x ln (2) = ln (48)

Solve

x ln (2) = ln (48) : x = \frac{ln ( 48 )}{ln ( 2 )}

x = \frac{ln ( 48 )}{ln ( 2 )}

4^{x} + 4^{x} + 4^{x} + 4^{x} = 4^{16}

6 4^{x} = 512

4 = 2^{2 x}

4^{x - 1} = 2^{2 x} - 12

7^{x} + 7^{x + 1} - 7^{x - 1} = - 286

What is the answer to 5(2^x)=240 ?
The answer to 5(2^x)=240 is x=(ln(48))/(ln(2))
Solve for x: 5(2^x)=240
The solution is x=(ln(48))/(ln(2))