Question

Solve for a positive value of x. log7(x) = 2

Answer 1

To answer this question, we can see that:

We can see from the graph above that if we raise the number 7 to 2, we obtain 49. Thus, the logarithm of 49 in base 7 is 2. In other words, if we raise the base of the logarithm to 2 we obtain the value of x (49). That is:

$\log _749=2\Rightarrow7^2=49$

Hence, the value for x is equal to 49.