Question

exponential equation
8^(x^2+(5x/3))=16^(x+(1/2)
i meant 8 raise to power x square+ 5x/3=16 raise to power x+ 1/2.

Answer 1

same gimmick as before
write
\[8=2^3\]
\[16=2^4\] multiply the exponents by 2 and 4 respectively and then set them equal and solve

Answer 2

*3 and 4 respectively

Answer 3

\[8^{x^2+\frac{5x}{3}}=16^{x+\frac{1}{2}}\]
\[2^{3(x^2+\frac{5x}{3})}=2^{4(x+\frac{1}{2})}\]
\[3(x^2+\frac{5x}{3})=4(x+\frac{1}{2})\]
I hope you can solve now urself?

Answer 4

yeah thanks man