Replace f(x) with y:
y = 5x-6
Swith the variables:
x = 5y -6
Now solve for y:
add 6 to each side:
x +6 = 5y
Divide both sides by 5:
y = (x+6)/5
Now replace y with the inverse function f^-1 (x):
f^-1(x) = (x+6)/5
Answer:
![\log_{2} [\frac{x^{3}(x + 4)}{3}]](https://tex.z-dn.net/?f=%5Clog_%7B2%7D%20%5B%5Cfrac%7Bx%5E%7B3%7D%28x%20%2B%204%29%7D%7B3%7D%5D)
Step-by-step explanation:
We have to write the following logarithmic expression as a single logarithm.
The given expression is
![3\log_{2} x - [\log_{2} 3 - \log_{2}(x + 4)]](https://tex.z-dn.net/?f=3%5Clog_%7B2%7D%20x%20-%20%5B%5Clog_%7B2%7D%203%20-%20%5Clog_%7B2%7D%28x%20%2B%204%29%5D)
= 
{Since,
, from the properties of logarithmic function }
= 
{Since,
, which also a logarithmic property}
= ![\log_{2} [\frac{x^{3}}{\frac{3}{x + 4}}]](https://tex.z-dn.net/?f=%5Clog_%7B2%7D%20%5B%5Cfrac%7Bx%5E%7B3%7D%7D%7B%5Cfrac%7B3%7D%7Bx%20%2B%204%7D%7D%5D)
=
(Answer)
Answer:
$20.52
Step-by-step explanation:
19 × 8% = 1.52
1.52 + 19 = $20.52
For this case we have the following equation:

We must create equivalent expressions in the equation, so that they have equal bases:

If the bases are the same, then the two expressions are only equal if the exponents are equal:

Answer:

Option D