What is the answer to 3^{log_{9}(5x-5)}=5 ?

The answer to 3^{log_{9}(5x-5)}=5 is x=(9^{(ln(5))/(ln(3))}+5)/5

Solve for x: 3^{log_{9}(5x-5)}=5

The solution is x=(9^{(ln(5))/(ln(3))}+5)/5

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3^{l o g_{9} (5 x - 5)} = 5

x = \frac{9 ^{\frac{l n ( 5 )}{l n ( 3 )}} + 5}{5}

Decimal

x = 6

Solution steps

3^{l o g_{9} (5 x - 5)} = 5

Apply exponent rules

lo g_{9} (5 x - 5) ln (3) = ln (5)

Solve

lo g_{9} (5 x - 5) ln (3) = ln (5) : x = \frac{9 ^{\frac{l n ( 5 )}{l n ( 3 )}} + 5}{5}

x = \frac{9 ^{\frac{l n ( 5 )}{l n ( 3 )}} + 5}{5}

(x + 5) e^{- 2 x} = 0

6^{x - 1} = 271

6^{1 + x} = \frac{1}{3 6 ^{4 x + 2}}

e^{x + π} = π^{x + e}

2^{2 x} - 2^{x + 1} + 2^{0} = 0

What is the answer to 3^{log_{9}(5x-5)}=5 ?
The answer to 3^{log_{9}(5x-5)}=5 is x=(9^{(ln(5))/(ln(3))}+5)/5
Solve for x: 3^{log_{9}(5x-5)}=5
The solution is x=(9^{(ln(5))/(ln(3))}+5)/5