A) 2^(x+3)= 4^(2x)
make base number the same
2^(x+3)= 2^2 (2x)
set the exponents equal to eachother
x+3=2 (2x)
x+3=4x
-x both sides
3=3x
÷3 both sides
x=1
b) 16^(1/5)×2^(x)=8^(3/4)
make base same number
2^4 (1/5)×2^(x)=2^3 (3/4)
2^(4/5)×2^(x)=2^(9/4)
set exponents
4/5 +x=9/4
-4/5 both sides
x= 29/20
Answer:
(2,2)
Step-by-step explanation:
step 1
Find the equation of f(x)
is a line that passes through the points (0,6) and (3,0)
Find the slope

The function f(x) in slope intercept form is equal to

step 2
Find the inverse
Let y=f(x)

Exchange the variables x for y and y for x

Isolate the variable y


Let


step 3
Solve the system of equations


equate both functions

solve for x



substitute the value of x in any of the functions

The solution is the point (2,2)
therefore
Their point of intersection is (2,2)
To me the answer is 6.4 and welcome get a good grade