What is the answer to 3^{log_{3}(x-2)}=5 ?

The answer to 3^{log_{3}(x-2)}=5 is x=3^{(ln(5))/(ln(3))}+2

Solve for x: 3^{log_{3}(x-2)}=5

The solution is x=3^{(ln(5))/(ln(3))}+2

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3^{l o g_{3} (x - 2)} = 5

x = 3^{\frac{l n ( 5 )}{l n ( 3 )}} + 2

Decimal Notation

x = 7

Solution steps

3^{l o g_{3} (x - 2)} = 5

Apply exponent rules

lo g_{3} (x - 2) ln (3) = ln (5)

Solve

lo g_{3} (x - 2) ln (3) = ln (5) : x = 3^{\frac{l n ( 5 )}{l n ( 3 )}} + 2

x = 3^{\frac{l n ( 5 )}{l n ( 3 )}} + 2

3^{2 x + 1} = 9

x, 2^{x + y} = 1

y, 7^{x - 1} = e^{y}

2^{x} + 4^{x} = 20

2^{x + 1} + 2^{2 - x} = 9

What is the answer to 3^{log_{3}(x-2)}=5 ?
The answer to 3^{log_{3}(x-2)}=5 is x=3^{(ln(5))/(ln(3))}+2
Solve for x: 3^{log_{3}(x-2)}=5
The solution is x=3^{(ln(5))/(ln(3))}+2