Question nm 43. How do i go about calculating the answer. he newspaper coverage,

Question

Question nm 43. How do i go about calculating the answer.

he newspaper coverage, includinl probably find number of you can largest on the web the number of digits in the currently known prime number you are asked here to do the calculation to verify that the reported 47 number of digits is correct 4a Suppose f(x) logx and g (x) log x4), with the domain of both f and g being the set of positive nume bers. Explain why the graph of g can be obtained by vertically stretching the graph of f by a factor of 4. 44 Explain why logo v logh

Explanation / Answer

Note:

g(x) = C* f(x)

(i) stretches vertically by C units, if C>1

(ii) compresses vertically by C units, if 0<C<1.

Now,

g(x) = log (x4) = 4 log x = 4 f(x) (Because log am = m log a).

Here 4>1.

So by the above note, g can be obtained by vertically stretching f by a factor of 4.

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