Exponential and Logarithmic Functions Test

$x^{\frac{8}{3}}y^2$

$x^{\frac{3}{8}}y^{\frac{1}{2}}$

$xy^2$

$x^{\frac{8}{3}}y^{ }$

 $216x^3$  

 $6x$  

 $216x$  

 $6^3x$  

$y=2^x$

$y=2^{\left(x-3\right)}$

$y=2^x-3$

$y=3\cdot2^x$

Reflection over y-axis

Reflection over x-axis

Shift down 4

Shift right 1

Shift down 2

$5^y=\frac{1}{625}$

$5^{625}=y$

$5^{\left(\frac{1}{625}\right)}=y$

$\left(\frac{1}{625}\right)^y=5$

$x^6=10$

$10^6=x$

$e^6=x$

$e^x=6$

$\log112=x+1$

$\log_{112}10=x+1$

$\log_{112}\left(x+1\right)=10$

$\log\left(x+1\right)=112$

$\log15=x$

$\ln15=x$

$\ln x=15$

$\log_ex=15$

$6\log a-6\log b-6\log c$

$2\log a-3\log b-\log c$

$6\log a+6\log b+6\log c$

$2\log a+3\log b+\log c$