What is the answer to 9^x+3=28 ?

The answer to 9^x+3=28 is x=(ln(5))/(ln(3))

Solve for x: 9^x+3=28

The solution is x=(ln(5))/(ln(3))

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9^{x} + 3 = 28

x = \frac{ln ( 5 )}{ln ( 3 )}

Decimal

x = 1.46497 \dots

Solution steps

9^{x} + 3 = 28

Move

3

to the right side

9^{x} = 25

Apply exponent rules

x ln (9) = ln (25)

Solve

x ln (9) = ln (25) : x = \frac{ln ( 5 )}{ln ( 3 )}

x = \frac{ln ( 5 )}{ln ( 3 )}

y, e^{y} = x

y, e^{x^{2} y} = x + y

2 7^{x} = 243

2^{(5 x + 2)} = 14

1 6^{x} - 3 \times 4^{x} + 2 = 0