Question

If 3 raise to 2x: 3 raise to x+5= 1:27. Find x
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Answer 1

Answer:

x = 2

Step-by-step explanation:

$3^{2x}$:$3^{x+5}$ = 1:27

$3^{2x}$/$3^{x+5}$ = 1/27 = 1/3³ = $3^{-3}$

$3^{2x-x-5}$ = $3^{-3}$

    $3^{x-5}$ = $3^{-3}$

  ∴ x-5 = -3

        x = -3+5 = 2

Hope this helps :)

Answer 2

given 3^(x+1)=27

taking log on both sides :

log[3^(x+1())]=log27

(x+1)log(3)=log3^3

(x+1)log(3)=3log(3)

(x+1)=3

x=3–1

x=2 ans…

We can also solve by equating power

3^(x+1)=3^3

x+1=3

x=2 Ans…

Regards.

: )Hope this helped u