Question

find the value of m:125/64=(5/3) raised to power 2m-1​

Answer 1

Answer:

$\frac{125}{64} = { (\frac{5}{3} })^{2m - 1} \\ = > { (\frac{5}{3} )}^{3} = { (\frac{5}{3} )}^{2m + 1} \\ = > 3 = 2m + 1 \\ = > 3 + 1 = 2m \\ = > 4 = 2m \\ = > m = \frac{4}{2} \\ = > . \\ \: \: \: \: \: . \: \: \: \: \: \: .m = 2$

Explanation:

125 is cube root of 5 and 64 is the cube root of 3 .

since the bases are same 3=2m.