Question

solve for x 2^3x=24​

Answer 1

$HEYA \: \\ \\ 2 {}^{3x} = 2 {}^{3} \times 3 \\ \\ taking \: log_{2} \: on \: both \: sides \: we \: have \: \\ log_{2}(2 {}^{3x} ) = log_{2}(2 {}^{3} \times 3 ) \\ \\ 3x log_{2}(2) = 3 log_{2}(2) + log_{2}(3) \\ becoz \: \: log(y {}^{n} ) = n log(y) \\ and \\ log(mn) = log(m) + log(n) \\ \\ 3x = 3 + log_{2}(3) \\ \\ x = 3 + log_{2}(3) \\ \: \: \: \: \: \: - - - - - - \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 3$

Answer 2

Step-by-step explanation:

2^3x=24

put (x)= 1

(x-1)=0

x=1

p(x)= 2^3(x)=24

p(1)=2^3(1)=24

8=24

=24-8

= 16 Ans