What is the answer to 2^x-2=282.6 ?

The answer to 2^x-2=282.6 is x=(ln(284.6))/(ln(2))

Solve for x: 2^x-2=282.6

The solution is x=(ln(284.6))/(ln(2))

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2^{x} - 2 = 282.6

x = \frac{ln ( 284.6 )}{ln ( 2 )}

Decimal Notation

x = 8.15279 \dots

Solution steps

2^{x} - 2 = 282.6

Move

2

to the right side

2^{x} = 284.6

Apply exponent rules

x ln (2) = ln (284.6)

Solve

x ln (2) = ln (284.6) : x = \frac{ln ( 284.6 )}{ln ( 2 )}

x = \frac{ln ( 284.6 )}{ln ( 2 )}

3^{7 x} = 243

x, 4^{x} = 23

3^{x - 2} = 93

3 e^{p} - 5 = 5 - 3 e^{- p}

4^{x} = 6^{x - 2}

What is the answer to 2^x-2=282.6 ?
The answer to 2^x-2=282.6 is x=(ln(284.6))/(ln(2))
Solve for x: 2^x-2=282.6
The solution is x=(ln(284.6))/(ln(2))