Answer:
The answer to your question is log₁₀ x + b = a
Step-by-step explanation:
General formula
Logarithmic function Exponential function
log ₐ b = c 
a = antilogaritm c = exponent
b = base b = base
c = logaritm a = power
In your problem
10 = base
a = exponent
x + b = power
Exponential function log₁₀ x + b = a
For every x you see in the f function you will replace with the h function
Answer:
y = 5x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
To calculate m use the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (1, 8)
m = 
= 5
Note the line crosses the y- axis at (0, 3) ⇒ c = 3
y = 5x + 3 ← equation in slope- intercept form
Ab = (7x-6) → b = (7x-6)/a (1)
bc = (12-2x) → b = (12-2x)/c (2)
Since (1) = (2) → (7x-6)/a = (12-2x)/c OR a/c = (7x-6)/(12-2x) (3)
Multiply both numerators of (3) by the SQUARE of their respective denominators;
(a*c²)/c = (7x-6)(12-2x)²/(12-2x)
Now simplify:
ac = (7x-6)(12x-2x) or ac = -14x² + 96x - 72
