tmua 2020 Q7

tmua · Uk · paper1 1 marks Laws of Logarithms Solve a Logarithmic Equation
Given that
$$2^{3x} = 8^{(y+3)}$$
and
$$4^{(x+1)} = \frac{16^{(y+1)}}{8^{(y+3)}}$$
what is the value of $x + y$?
A $-23$
B $-22$
C $-15$
D $-14$
E $-11$
F $-10$
..... 9
Given that

$$2^{3x} = 8^{(y+3)}$$

and

$$4^{(x+1)} = \frac{16^{(y+1)}}{8^{(y+3)}}$$

what is the value of $x + y$?

A $-23$

B $-22$

C $-15$

D $-14$

E $-11$

F $-10$