determine the following (I)log 5 and base 25
Áñßwèr fòr yöú:
Rewrite as an equation.
log
25(5)=x
Rewrite log25(5)=x
in exponential form using the definition of a logarithm. Ifxandb are positive realnumbers and b does notequal 1, then
logb(x)=y is equivalent to by=25x=5
Create expressions in the equation that all have equal bases.
(52)x=51
Rewrite (52)x as 52x.52x=51
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
2x=1
Solve for
x.x=12
The variable x is equal to 1
2.1
2
The result can be shown in multiple forms.
Exact Form:1/2
Decimal Form:
0.5
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