Solve each logarithmic equation in Exercises 49–92. Be sure to re...

Question

Solve each logarithmic equation in Exercises 49–92. Be sure to reject any value of x that is not in the domain of the original logarithmic expressions. Give the exact answer. Then, where necessary, use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution. log2(x+25)=4

Accepted Answer

everyone here we are asked to solve the following log rhythmic equation of log base five of X plus 17 is equal to three. Now before we can start solving for X, we first need to recall that this format here of the equation is log base B of X. Is equal to A. In this equation can be converted to X. Is equal to B to the power of A. Now with this information we want to identify our X. B. And A quantities and then plug them into this converted equation. So for X it is the expression within the parentheses. So we have X plus 17 and then for B we have five and four A. We have positive three. And now using this information we can simply plug it into this converted equation here. So we have X. Which is X plus 17 is equal to B. Which is five to the power of A. Which is three. And now from here we can just simplify and solve for X. So we have X plus 17 is equal to five to the power of three which is 125. We now subtract 17 from both sides to get X alone. So we have X. Is equal to 108 which is our final answer here. Of choice. A thanks for watching. I hope you found this video helpful and I'll see you again next time

My Courses

Chemistry

Biology

Math

Physics

Business

Social Sciences

Programming

Product & Marketing