PLEASE HELP ASAP, WILL GIVE BRAINLIEST!
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Answer:
Step-by-step explanation:
To write the expression as a single logarithm, or condense it, use the properties of logarithms.
1) The power property of logarithms states that . In other words, the exponent within a logarithm can be brought out in front so it's multiplied by the logarithm. This means that the number in front of the logarithm can also be brought inside the logarithm as an exponent.
So, in this case, we can move the 3 and the 4 inside the logarithms as exponents. Apply this property as seen below:
2) The product property of logarithms states that . In other words, the logarithm of a product is equal to the sum of the logarithms of its factors. So, in this case, write the expression as a single logarithm by taking the log (keep the same base) of the product of
and
. Apply the property as seen below and find the final answer.
So, the answer is .
The four?
Of course there are an infinite number of rationals between any two different real numbers, as well as an even bigger infinite number of irrationals.
The average will be between the numbers:
That's a lot of work to get a number in between. We can just see
is between the two numbers.
The mediant, or freshman addition, will always be in between:
2/5=.4 and 5/6 is about .83, so
is in between as is .7, .41, .530940394 and as many rationals as we care to generate.
To get irrationals we could just add a teeny irrational to the ones we just generated, like
We could just change that denominator a bit and get as many as we like.
But let's get some square roots. The geometric mean will be between
That's the tangent from one of trig's biggest cliches, but I digress. It's in between.
While we're on trig cliches,
is in between as well.
Keeping with the trig theme, also in between are
and
the angles associated with the some of the above trig function values.
We could obviously go on as long as we cared to.
Of course there are an infinite number of rationals between any two different real numbers, as well as an even bigger infinite number of irrationals.
The average will be between the numbers:
That's a lot of work to get a number in between. We can just see
is between the two numbers.
The mediant, or freshman addition, will always be in between:
2/5=.4 and 5/6 is about .83, so
is in between as is .7, .41, .530940394 and as many rationals as we care to generate.
To get irrationals we could just add a teeny irrational to the ones we just generated, like
We could just change that denominator a bit and get as many as we like.
But let's get some square roots. The geometric mean will be between
That's the tangent from one of trig's biggest cliches, but I digress. It's in between.
While we're on trig cliches,
is in between as well.
Keeping with the trig theme, also in between are
and
the angles associated with the some of the above trig function values.
We could obviously go on as long as we cared to.