What is the answer to 3.4^x-7=185 ?

The answer to 3.4^x-7=185 is x=(ln(192))/(ln(3.4))

Solve for x: 3.4^x-7=185

The solution is x=(ln(192))/(ln(3.4))

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3. 4^{x} - 7 = 185

x = \frac{ln ( 192 )}{ln ( 3.4 )}

Decimal Notation

x = 4.29612 \dots

Solution steps

3. 4^{x} - 7 = 185

Move

7

to the right side

3. 4^{x} = 192

Apply exponent rules

x ln (3.4) = ln (192)

Solve

x ln (3.4) = ln (192) : x = \frac{ln ( 192 )}{ln ( 3.4 )}

x = \frac{ln ( 192 )}{ln ( 3.4 )}

2^{x + 7} = 8^{x + 2}

e^{- x} = e^{x}

3^{3 x - 1} = 9

3^{x} = 2 x + 1

50 \cdot 1. 4^{t} = 10000

What is the answer to 3.4^x-7=185 ?
The answer to 3.4^x-7=185 is x=(ln(192))/(ln(3.4))
Solve for x: 3.4^x-7=185
The solution is x=(ln(192))/(ln(3.4))