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Which points do the graph of f and g have in g(x)=log2x and g(x)=log10x

Sagot :

Logarithmic are inverse of exponential functions. The point where graph of f and g intersect is (0, ∞)

Logarithmic function

Logarithmic are inverse of exponential functions. Given the following functions;

g(x)=log2x and g(x)=log10x

The point where the graphs intersect is the point where g(x) = g(x)

Equate

log2x = log10x

2x = 10x

The value of x that made them equal is 0

Determine the value of g(x)

g(0) = log2(0)

g(0) = ∞

Hence the point where graph of f and g intersect is (0, ∞)

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