Solve the log equation below. Express irrational solutions in exact form and as a decimal rounded to 3 decimal places. log_9 (x) + 3 log_4 (x) = 14 NOTE: This question has two different logs. What is that all about?
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use the change of base formula
How do I use the change-of-base formula?
algebra time ... isolate and solve and calculate the value of x.
Originally Posted by magentarita Solve the log equation below. Express irrational solutions in exact form and as a decimal rounded to 3 decimal places. log_9 (x) + 3 log_4 (x) = 14 NOTE: This question has two different logs. What is that all about? Change to same base (10) Factor out log x, Take antilog of both sides:
I thank you both.
Originally Posted by magentarita Solve the log equation below. Express irrational solutions in exact form and as a decimal rounded to 3 decimal places. log_9 (x) + 3 log_4 (x) = 14 ... Use the base-change-formula. I'll take the natural logs (see skeeter's post): Solve for ln(x): Now use this term as exponent to the base e to get the solution exactly: For the approximate value see master's post.
Thank you earboth as well.
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