Question

solve for x: 4^(-x-3)+3=35
a) x=15/2
b) x=-8
c) x=-1/2
d) x=11/2
e) x=-11/2

Answer 1

\[4^{-x-3}+3=35\]

Answer 2

\[4^{\left(-x-3\right)}+3=35\quad :\quad x=-\frac{11}{2}\]

Answer 3

answer is option e

Answer 4

@DecentNabeel please explain

Answer 5

ok
4^(-x-3)+3=35
first subtract 3 on both sides

Answer 6

4^(-x-3)+3-3=35-3
4^(-x-3)=32

Answer 7

\[\left(2^2\right)^{-x-3}=2^5\]
\[\left(2^2\right)^{-x-3}=2^5\]
\[\mathrm{Use\:the\:following\:exponent\:property}:\quad \left(a^n\right)^m=a^{n\cdot m}\]
\[\left(2^2\right)^{-x-3}=2^{2\left(-x-3\right)}\]
\[2^{2\left(-x-3\right)}=2^5\]
\[\mathrm{If\:}a^{f\left(x\right)}=a^{g\left(x\right)}\mathrm{,\:then\:}f\left(x\right)=g\left(x\right)\]
\[\mathrm{Solve\:}\:2\left(-x-3\right)=5:\quad x=-\frac{11}{2}\]

Answer 8

are you understand @clara1223

Answer 9

yes! thanks so much @DecentNabeel

Answer 10

you are wellcome @clara1223