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Mathematics
Shyla Welch
16 April, 20:12
What is the solution of log, 729 = 3?
Of
18
81
+4
Answers (
1
)
Marlene Dodson
16 April, 22:49
0
Solution
Step-by-step explanation:
Rewrite logx729 = 3 is an exponential form using the definition of a logarithm. If x and b are positive real numbers and b≠1, then logb (x) = y is equivalent to b^y = x.
X^3 = 729
Take cube root on both side and we get
x = 3√729
now we firstly simplify the 3√729
Rewrite 729 as 9^3
x = 3√9^3
pull terms out from under the redical, assuming positive real numbers
x=9
verify each of the solution by substituting them into logx729=3 and solving.
x = 9
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