First, we get the z-score using formula:
z =( X - μ ) / σ
From the problem, we substitute the given values:
z = (9 - 7.8) / 1.7
z = 0.71
From the z-table (one-tailed), for a z-score of 0.7059, the proportion of numbers that are greater than 9 is 0.76.
The equation which is equivalent to 
is 
or x = 6 (
).
<u>Step-by-step explanation:</u>
Given Equation:
As we know, in terms of logarithmic rules, when b is raised to the power of y is equal x:
Then, the base b logarithm of x is equal to y
Now, use the logarithmic rule for the given equation by comparing with above equation. We get b = x, y = 2, and x = 36. Apply this in equation,
When taking out the squares on both sides, we get x = 6. Hence, the given equation can be written as
M and n are both numbers to this problem
Answer:
6
Step by step explanation:
4(3)-6
Multiply
4 x 3
Now subtract the numbers
12-6
The solution is 6
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Question:
Approximate log base b of x, log_b(x).
Of course x can't be negative, and b > 1.
Answer:
f(x) = (-1/x + 1) / (-1/b + 1)
Step-by-step explanation:
log(1) is zero for any base.
log is strictly increasing.
log_b(b) = 1
As x descends to zero, log(x) diverges to -infinity
Graph of f(x) = (-1/x + 1)/a is reminiscent of log(x), with f(1) = 0.
Find a such that f(b) = 1
1 = f(b) = (-1/b + 1)/a
a = (-1/b + 1)
Substitute for a:
f(x) = (-1/x + 1) / (-1/b + 1)
f(1) = 0
f(b) = (-1/b + 1) / (-1/b + 1) = 1
