What is the answer to 10*10^x=60 ?

The answer to 10*10^x=60 is x=(ln(60))/(ln(10))-1

Solve for x: 10*10^x=60

The solution is x=(ln(60))/(ln(10))-1

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10 \cdot 1 0^{x} = 60

x = \frac{ln ( 60 )}{ln ( 10 )} - 1

Decimal Notation

x = 0.77815 \dots

Solution steps

10 \cdot 1 0^{x} = 60

Apply exponent rules

(x + 1) ln (10) = ln (60)

Solve

(x + 1) ln (10) = ln (60) : x = \frac{ln ( 60 )}{ln ( 10 )} - 1

x = \frac{ln ( 60 )}{ln ( 10 )} - 1

1 6^{2 x + 3} = 2^{3 x + 2}

\frac{2 7 ^{x}}{9 ^{2 x - 1}} = 3^{x + 4}

1 5^{3 a} + 7 = 67

7^{1 + 2 x} - 50 \times 7^{x} + 7 = 0

a^{5 - x} = a^{3 - x}

What is the answer to 10*10^x=60 ?
The answer to 10*10^x=60 is x=(ln(60))/(ln(10))-1
Solve for x: 10*10^x=60
The solution is x=(ln(60))/(ln(10))-1