Answer:
x = -3
Step-by-step explanation:
Okay, the first thing to do is get that 8 away from the fraction. How can we do it? When you have 2³ you have 8, is the same thing, so let's do it:
2³⁰/(2³)⁹ = 2^x
When you have a number with the shape (a^x)^y, you can write it as a^(x•y), so:
(2³)⁹ = 2^3•9 = 2²⁷
Now we have:
2³⁰/2²⁷ = 2^x
When you have a division like this: (a^x)/(a^y), you can write it as a^(x-y), so:
2^(30-27) = 2^x
2^-3 = 2^x
Now you know that x = -3
The gcf of 90 and 72 is 18, so i divided both of them by 18 and i got 4 and 5, in total he would 9 pieces of wood
Answer:
a) $19.2
b) 0.8x
c) $17.5
Step-by-step explanation:
1. We want to find the discount price given the regular price
The discount is 20%
so the discount price will be;
24 - 20% of 24
24 - 4.8 = $19.2
b) We have this as;
x - (20% of x)
x - 0.2x = 0.8x
c) let the original price be x
x - 20% of x = 14
x - 0.2x = 14
0.8x = 14
x = 14/0.8
x = $17.5
Answer:
y = 4 or y = 6
Step-by-step explanation:
2log4y - log4 (5y - 12) = 1/2
2log_4(y) - log_4(5y-12) = log_4(2) apply law of logarithms
log_4(y^2) + log_4(1/(5y-12)) = log_4(/2) apply law of logarithms
log_4(y^2/(5y-12)) = log_4(2) remove logarithm
y^2/(5y-12) = 2 cross multiply
y^2 = 10y-24 rearrange and factor
y^2 - 10y + 24 = 0
(y-4)(y-6) = 0
y= 4 or y=6
The answer is c bc I just know
