Answer:
x = 38
Step-by-step explanation:
using the law of logarithms
•
x = n ⇔ x =
, hence
(2x - 12) = 3 ⇒ 2x - 12 =
= 64
add 12 to both sides
2x = 76 ( divide both sides by 2 )
x = 38
The answer to this equation is 3
Put x on one side of the equation
6x=(76+22)
6x=98
x=98/6
Simplify
x=49/3
Answer:
$2.52
Step-by-step explanation:
Hey there :)
We know the area formula of a triangle

We are given:
The area = 56 m²
The base = let p represent this
The height = 9 m less than the base = p - 9
Apply the formula
56 =

× ( p ) × ( p - 9 )
56 =

× ( p² - 9p )
Divide

on both sides
56 ÷

= p² - 9p
112 = p² - 9p
Bring 112 to the other side and equate equation to 0
p² - 9p - 112
Factorise { Sum = -9 , Product = - 112 , therefore suitable factors = - 16 × 7 )
( p - 16 )( p + 7 ) = 0
↓ ↓
p = 16 p = - 7 ← Reject p = - 7 since length cannot be negative
So, the length of the base is 16 mCheck:
56 m² =

× 16 × ( 16 - 9 )
56 m² = 8 × 7
56 m² = 56 m²