What is the answer to 5*10^x=15 ?

The answer to 5*10^x=15 is x=(ln(3))/(ln(10))

Solve for x: 5*10^x=15

The solution is x=(ln(3))/(ln(10))

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5 \cdot 1 0^{x} = 15

x = \frac{ln ( 3 )}{ln ( 10 )}

Decimal Notation

x = 0.47712 \dots

Solution steps

5 \cdot 1 0^{x} = 15

Divide both sides by

5

1 0^{x} = 3

Apply exponent rules

x ln (10) = ln (3)

Solve

x ln (10) = ln (3) : x = \frac{ln ( 3 )}{ln ( 10 )}

x = \frac{ln ( 3 )}{ln ( 10 )}

8^{x} = (\frac{1}{32})^{x - 2}

1355 = 4 5^{n}

2^{x} = 1 + x

lo g_{10} (1 0^{3 x}) = 12

e^{- 5 x} = 0