Answer:
0.4077
Step-by-step explanation:
It's important to use parenthesis to avoid confusion.
9^(2x) = 6
Use exponent properties:
(9^2)^x = 6
81^x = 6
Take log of both sides
ln(81^x) = ln(6)
Use log properties:
x ln(81) = ln(6)
Solve for x:
x = ln(6) / ln(81)
x ≈ 0.4077
Step-by-step explanation
Assuming we want to find the equation (74,2) and (4,9)
This is an equation of a straight.
Let this equation be y=mx+b.
We substitute the slope and (4,9) to get:
We rewrite in standard form to get:
x y x