Ask a New Question

Question

find the values of x which satisfy the equation log_10(x^2+4) = 2+log_10 x-log_10 20
2 years ago

Answers

mathhelper
If the base of your log is 10, we don't have to write the base, so ...

log(x^2+4) = 2 + log x - log 20
log(x^2 + 4) - log x + log 20 = 2
log( 20(x^2 + 4)/x ) = log 100
20(x^2 + 4)/x = 100
(x^2 + 4)/x = 5
x^2 + 4 = 5x
x^2 - 5x + 4 = 0
(x - 1)(x - 4) = 0
x = 1 or x = 4
2 years ago

Related Questions

Find all real numbers that satisfy (6^x)(7^(2x)) = 86, 436. Here's what I did: ln(6^x)(7^(2x)) =... a. Employee job satisfaction (high, normal, low) and employee success (0-2 promotions, 3-... Find all real numbers that satisfy the equation. 2 cos x + 1 = 0 find all real numbers that satisfy the equation: sinx= -\sqrt3/ 2 Find all complex numbers z satisfying z3 = 27i and give your answer as a comma-separated list of... Find all complex numbers z satisfying the equation e 6 iz = 3i. Give your answer in Cartesian form... -Find two positive numbers satisfying the given requirements: The sum of the first and twice the... Find all real numbers that satisfy the equation sin2theta=-1/2 Find all real numbers that satisfy \frac{1}{a^3 + 7} -7 = -\frac{a}{a^3 + 7}. What did you find the most satisfying about the process of writing? What part of your final book rev...
Ask a New Question
Archives Contact Us Privacy Policy Terms of Use