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1davey29
To go from exponential to logarithmic, you can use [tex]e^x=y[/tex] (exponential) => [tex]log_{e} (y)=x[/tex] (logarithmic). With your specific equation, this would make [tex]7^5=16,807[/tex] => [tex]log_7(16,807)=5[/tex], with that being your logarithmic form.
the last digit (1s place; just to the left of the decimal dot) recurs after the power is 4+.
7⁰⁺⁴ⁿ all have the last digit as '1'.
7¹⁺⁴ⁿ have the last digit as '7'.
7²⁺⁴ⁿ have the last digit as '9'.
7³⁺⁴ⁿ have the last digit as '3'.
7⁴⁺⁴ⁿ, the same as 7⁰⁺⁴ⁿ have the last digit as '1'.
replace the 7 with 16 in the expression. 807

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