What is the answer to 4.7^{9x+7}=46 ?

The answer to 4.7^{9x+7}=46 is x=(ln(46)-7ln(4.7))/(9ln(4.7))

Solve for x: 4.7^{9x+7}=46

The solution is x=(ln(46)-7ln(4.7))/(9ln(4.7))

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4. 7^{9 x + 7} = 46

x = \frac{ln ( 46 ) - 7 ln ( 4.7 )}{9 ln ( 4.7 )}

Decimal Notation

x = - 0.50289 \dots

Solution steps

4. 7^{9 x + 7} = 46

Apply exponent rules

(9 x + 7) ln (4.7) = ln (46)

Solve

(9 x + 7) ln (4.7) = ln (46) : x = \frac{ln ( 46 ) - 7 ln ( 4.7 )}{9 ln ( 4.7 )}

x = \frac{ln ( 46 ) - 7 ln ( 4.7 )}{9 ln ( 4.7 )}

230 \cdot 1.01 5^{t} = 325

0 = 2^{x - 3} - 1

e^{0.5 x} = 3

x, 2^{x} = 4^{(7 - 2 y)}

3^{\frac{2 x - 3}{1 - x}} = 2 7^{3 x - 2}

What is the answer to 4.7^{9x+7}=46 ?
The answer to 4.7^{9x+7}=46 is x=(ln(46)-7ln(4.7))/(9ln(4.7))
Solve for x: 4.7^{9x+7}=46
The solution is x=(ln(46)-7ln(4.7))/(9ln(4.7))