What is the answer to solvefor z,5*10^{z/4}=32 ?

The answer to solvefor z,5*10^{z/4}=32 is z=(4ln(32/5))/(ln(10))

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Solve for z 5*10^(z/4)=32

solve for

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

z = \frac{4 ln ( \frac{32}{5} )}{ln ( 10 )}

Decimal Notation

z = 3.22471 \dots

Solution steps

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

Divide both sides by

5

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

Apply exponent rules

\frac{z}{4} ln (10) = ln (\frac{32}{5})

Solve

\frac{z}{4} ln (10) = ln (\frac{32}{5}) : z = \frac{4 ln ( \frac{32}{5} )}{ln ( 10 )}

z = \frac{4 ln ( \frac{32}{5} )}{ln ( 10 )}

d, 8 d - 4 d - 6 d - 8 = 2 d

r, 5 (r + 9) - 2 (1 - r) = 1

5 (2 x) = 6

\frac{1600}{3}

8 \frac{4}{10}

What is the answer to solvefor z,5*10^{z/4}=32 ?
The answer to solvefor z,5*10^{z/4}=32 is z=(4ln(32/5))/(ln(10))