Which expression can be used to approximate the expression below,for all positive number a,b and x where a =/ 1 and b=/ 1
Loga^x
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Answer:
The correct option is 1.
Step-by-step explanation:
The given expression is
[tex]log_ax[/tex]
The value of a is 1 and the value of b is 1.
According to the logarithm property,
[tex]log_mn=\frac{log_pm}{log_pn}[/tex]
Using this property, we get
[tex]log_ax=\frac{log_bx}{log_ba}[/tex]
The required expression is [tex]\frac{log_bx}{log_ba}[/tex].
[tex]log_1x=\frac{log_1x}{log_11}[/tex]
[tex]log_1x=log_1x[/tex] [tex][\because log_aa=1][/tex]
Left hand side is equal to the right hand sides, therefore option 1 is correct.