SOLUTION: I have solved these equations but the directions require me to show work or provide an explanation and I don't know how.Here are the questions: Write each of the following in expo

Question 1007501: I have solved these equations but the directions require me to show work or provide an explanation and I don't know how.Here are the questions:
Write each of the following in exponential form:
1) log3 x = 9
3^9= x

2) log2 8 = x
8= 2^x
3) ln x = 2
e^2 = x
4) log x = 5
10^5= x
Found 2 solutions by rothauserc, MathLover1:
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
We use the definition of logarithm
y = log base b of x means that x = b^y
**********************************************************************
1) log base 3 of x = 9, then 3^9 = x
2) log base 2 of 8 = x, then 8 = 2^x
3) ln of x = 2, then e^2 = x
4) log x = 5, then 10^5 = x

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

1)

......here you have used the relationship: is equivalent to (means the exact same thing as)

2)
.....same explanation here too
....now write as to have same base
use the rule if bases same, exponents are same too
so,

3)

since , approximately

4)
...same explanation here too as in 1 and 2

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