Which logarithmic equation correctly rewrites this exponential equation? 8x = 64
1 answer:
The logarithmic equation of 8^x = 64 is
The exponential equation is given as:
8^x = 64
Take the logarithm of both sides
xlog(8) = log(64)
Divide both sides by log(8)
x = log(64)/log(8)
Apply the change of base rule
Hence, the logarithmic equation of 8^x = 64 is
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Answer:
vertex = (- 2, - 36)
Step-by-step explanation:
Given a parabola in standard form : y = ax² + bx + c : a ≠ 0
Then the x- coordinate of the vertex is
= -
f(x) = 5x² + 20x - 16 is in standard form
with a = 5, b = 20 and c = - 16
= -
= - 2
Substitute x = - 2 into f(x) for corresponding y- coordinate
f(- 2) = 5(- 2)² +20(- 2) - 16 = 20 - 40 - 16 = - 36
vertex = (- 2, - 36)
Answer:
Total eclipse was minutes longer than in 2005.
Step-by-step explanation:
It is given in the question that total eclipse in 2003 lasted minutes and in 2005 it lasted 3/8 of a minute.
We have to calculate how much longer did it last in 2003.
So we have to subtract the duration in 2003 by duration in 2005
Total time taken in 2003- total time taken in 2005
minutes