Answer:
4^ (3/2) =8
Step-by-step explanation:
Log_4 (8) = 3/2
We know that
log a (b) =c becomes a^c =b
Log_4 (8) = 3/2 becomes 4^ (3/2) =8
4/3x - 1/2 = 0 Given
4/3x = 1/2 Add 1/2 to both sides
x = 3/8 Multiply each side by 3/4
It is important when doing equations like these to remember that you need to multiply by the reciprocal of the fraction, not divide by it. For example, if another you have 1/2x = 1, you need to multiply by 2/1 or 2, not divide by 1/2.
The general expression would be:

In an organism that is 20,000 years old (t = 20000), we would expect:

This menas there would be around 8.898% of carbon-14 remaining in the organism.
Answer:
This year the business earned about 50 times as much as it did last year
Step-by-step explanation:
I got this answer because you have to have the same exponents so for the last year's income the exponent is 6 so you have to raise that up to 8 so you have to move the decimal of 4.1, two places to the left which will get you 0.041 and so you divide 2.05 by 0.041 and you get 50 so 2.05 is 50 times bigger than 0.041. I hope this helped.