Arianenuevoviz
Answered

solve for each exponential equation..
1. 49^x = 343

2.(5/2)^x = 4/25

Sagot :

Riza1viz
[tex]1.\\ \\ 49^x = 343 \\ \\( 7^2)^x=7^3\\ \\7^{2x}=7^3 \\ \\2x=3 \ \ /:2\\\\x=\frac{3}{2}[/tex]

[tex]2.\\ \\ ( \frac{5}{2})^x = \frac{4}{25} \\\\ ( \frac{5}{2})^x =( \frac{2}{ 5})^2\\\\( \frac{5}{2})^x =( \frac{ 5}{2}) ^{-2}\\\\x=-2[/tex]