What is the answer to 10^{a-3}=512 ?

The answer to 10^{a-3}=512 is a=(9ln(2))/(ln(10))+3

Solve for a: 10^{a-3}=512

The solution is a=(9ln(2))/(ln(10))+3

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1 0^{a - 3} = 512

a = \frac{9 ln ( 2 )}{ln ( 10 )} + 3

Decimal Notation

a = 5.70926 \dots

Solution steps

1 0^{a - 3} = 512

Apply exponent rules

(a - 3) ln (10) = ln (512)

Solve

(a - 3) ln (10) = ln (512) : a = \frac{9 ln ( 2 )}{ln ( 10 )} + 3

a = \frac{9 ln ( 2 )}{ln ( 10 )} + 3

(\frac{1}{3})^{2 x - 1} = 27

lo g_{10} (8^{x}) = - \frac{1}{3}

2^{(2 x + 1)} - 5 (2^{x}) + 2 = 0

2^{3 x} + 2^{x} = 10

16 \cdot 4^{v - 2} - 3 = 61

What is the answer to 10^{a-3}=512 ?
The answer to 10^{a-3}=512 is a=(9ln(2))/(ln(10))+3
Solve for a: 10^{a-3}=512
The solution is a=(9ln(2))/(ln(10))+3