Question

Logarithmic to Exponential

A=B⋅LogXC

A = 11


B = 4


C = 190


Substitute the values for A, B, and C into the logarithmic equation and solve for X.

Answer 1

`A = B \log_x C\\\\\text{Given that,}~~ A = 11, ~B = 4~ C = 190\\\\~~~~~~~~11 = 4 \log_x (190)\\\\\implies \log_x (190) = \frac{11}4\\\\\implies x^{\tfrac{11}4} = 190\\\\\implies x = 190^{\tfrac 4{11}}\\\\ \implies x \approx 6.7397`