What is the answer to 10^x=200 ?

The answer to 10^x=200 is x=(ln(200))/(ln(10))

Solve for x: 10^x=200

The solution is x=(ln(200))/(ln(10))

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1 0^{x} = 200

x = \frac{ln ( 200 )}{ln ( 10 )}

Decimal Notation

x = 2.30102 \dots

Solution steps

1 0^{x} = 200

Apply exponent rules

x ln (10) = ln (200)

Solve

x ln (10) = ln (200) : x = \frac{ln ( 200 )}{ln ( 10 )}

x = \frac{ln ( 200 )}{ln ( 10 )}

8 (2^{2 x}) - 65 (2^{x}) + 8 = 0

1000000 = 2^{n} \cdot 5^{n}

6 4^{x} - 8 = 7 (4^{x} - 2)

3^{x} = x^{2}

5 \cdot 1 0^{\frac{z}{4}} = 32