Question

calcule o valor de X
2*=128
B) 5*=1/125
C)4*=512
D)2*+1=1/4

Answer 1

$2^x=128 \\ 2^x = 2^7 \\ x=7$

$B) 5^x=\frac{1}{125} \\ 5^x=(\frac{1}{5})^3 \\ 5^x=5^{-3} \\ x=-3$

$4^x=512 \\ (2^2)^x = 2^9 \\ 2^{2x}=2^9 \\ 2x=9 \\ x=\frac{9}{2}$


$2^{x+1}=\frac{1}{4} \\ 2^x = 2^{-2} \\ x=-2$