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I have two simple problems, I know the answers for both, but do notknow how to s

ID: 3088727 • Letter: I

Question

I have two simple problems, I know the answers for both, but do notknow how to show the work. If anyone can please help
1) lne2.3
The answer is 2.3, but how do I show the work for that ?
2) log2 1/8
The answer for this is -3. We would get 2x=1/8
For both questions we can not use a calculator. Thank for thehelp
1) lne2.3
The answer is 2.3, but how do I show the work for that ?
2) log2 1/8
The answer for this is -3. We would get 2x=1/8
For both questions we can not use a calculator. Thank for thehelp

Explanation / Answer

2) recall that log base a of a^p = p. because thelog function and the exponential are inverse functions so, log base 2 of (1/8) is to be evaluated. We should express 1/8, if possible as 2 to some power, we do not care what the power is. 1/8 = 1/(2^3) = 2^(-3). so, log base 2 of (1/8) = log base 2 [ 2^(-3)] = -3 1) it is not clear what the base is. If the base is e , 2.3 is not any polite power of e.