Problem 1)
The base of the exponential is 12 which is also the base of the log as well. The only answer choice that has this is choice B.
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Problem 2)
log(x) + log(y) - 2log(z)
log(x) + log(y) - log(z^2)
log(x*y) - log(z^2)
log[(x*y)/(z^2)]
Answer is choice D
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Problem 3)
log[21/(x^2)]
log(21) - log(x^2)
log(21) - 2*log(x)
This matches with choice B
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Problem 4)
Ln(63) = Ln(z) + Ln(7)
Ln(63)-Ln(7) = Ln(z)
Ln(63/7) = Ln(z)
Ln(9) = Ln(z)
z = 9
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Problem 5)
Ln(5x-3) = 2
5x-3 = e^2
5x = e^2+3
x = (e^2+3)/5
This means choice A is the answer
<span>Scientific notation is the way that scientists easily handle very large numbers or very small numbers. Scientific notation is written by writting a decimal number between 1 and 10 together with an exponent of 10.
Given

First, using distributive property of numbers, seperate the decimal numbers and the exponents of 10, we have

Because, scientific notation requires that the decimal number part be a number between 1 and 10, we move the decimal point 1 place foward and subtract 1 from the exponent of 10.
Therefore, </span><span>

in standard notation is

</span>
Answer:
absolute value is the number itself regardless if it is negative or positive
Answer:
d
Step-by-step explanation:
Answer:
x = 6
Step-by-step explanation:
These two angles make a complementary angle meaning the sum of the angles will be 90°. We can use this information to make an equation to solve for x.
10x + 30 = 90 (Given)
10x = 60 (Subtract 30 on both sides)
x = 6 (Divide 10 on both sides)