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The question is incomplete. But this explanation will help you very much.
1) Regarding the function
, its graph always passes through the points (1,0) and (a,1).
That is due to the properties of logarithm function:
a)
b)
<span>
That in turn is due to the properties of the exponential functions.
a^0 = 1 and a^1 = a
</span>
2) Regarding the y-axis.
The function will never touch the y-axis, because the logaritm of zero is not defined. So the graph lies to the righ of the y-axis (i.e. the domain of the function is x > 0)
1) Regarding the function
That is due to the properties of logarithm function:
a)
b)
<span>
That in turn is due to the properties of the exponential functions.
a^0 = 1 and a^1 = a
</span>
2) Regarding the y-axis.
The function