What is the answer to log_{10}(100^x)=70 ?

The answer to log_{10}(100^x)=70 is x=35

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log_{10}(100^x)=70

lo g_{10} (10 0^{x}) = 70

x = 35

Solution steps

lo g_{10} (10 0^{x}) = 70

Rewrite the equation with

10 0^{x} = u

lo g_{10} (u) = 70

Solve

lo g_{10} (u) = 70 : u = 1 0^{70}

u = 1 0^{70}

Substitute back

u = 10 0^{x},

solve for

x

Solve

10 0^{x} = 1 0^{70} : x = 35

x = 35

(- 7)^{x - 2} = 16.807

(3^{2})^{5} = 24 3^{x}

d, c = ba + a^{d}

x, 2^{4 x - 9} = 9^{7 x - 4}

lo g_{10} (10 0^{x}) = 35

What is the answer to log_{10}(100^x)=70 ?
The answer to log_{10}(100^x)=70 is x=35
Solve for x: log_{10}(100^x)=70
The solution is x=35