Which of the following is NOT true?
2 answers:
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Answer:
If you meant , then the answer is approximately 0.866.
If you meant , then the answer is approximately -2.909 which looks like what you meant based on the choices.
Step-by-step explanation:
First step is to get the exponential part by itself. The part that has the variable exponent which is the term.
To do this we need to subtract 4 on both sides:
Simplify:
The equivalent logarithmic form is:
I always say to myself the logarithm is the exponent that is how I know what to put opposite the side containing the log.
Anyways if you don't have options for computing in your calculator you need to use the change of base formula.
So
I don't see this as a choice so maybe you actually meant the following equation:
Let's see if this is the correct interpretation.
So the exponential part is already isolated.
So we just need to put in the equivalent logarithmic form:
Now we subtract 4 on both sides:
Again if you don't have the option for computing in your calculator, you will have to use the change of base formula:
Answer:
see below
Step-by-step explanation:
exponent to log: = c ---> logₐc = b
ie. question 6
log ₁₀(3x+1) = 2 ----->
that will get you through questions 1 to 3, 5 to 6, and 8
in question 4, all you have to do is know that 2^2 = 4 and 2^3 = 8, by setting the bases equal, you can manipulate the exponents to get 2x+8 = 3x-3
for questions 7 and 9,
remember that:
logₐc + logₐd = logₐ(cd)
logₐc - logₐd = logₐ()
remember change of base is , this will be useful if you need your calculator since calculators only have base 10 and maybe if your calculator is good enough natural base e