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10^x (10-1/10) = 10010^x = 1000/99 x = log (1000/99) (base 10) x = 3 - log 99 (base 10)
Excellent
x10 throughout. =>100.10^x-10^x=100099.10^x=100010^x=1000/99Take logs to base 10 (easiest)x=log1000/99Why is this tricky?
10^x (10-1/10) = 100
10^x = 1000/99
x = log (1000/99) (base 10)
x = 3 - log 99 (base 10)
Excellent
x10 throughout. =>100.10^x-10^x=1000
99.10^x=1000
10^x=1000/99
Take logs to base 10 (easiest)
x=log1000/99
Why is this tricky?