tylerjcarr tylerjcarr

22-07-2018
Mathematics

contestada

This was my very last homework question and i'm stumped.
log_4(x+1)-log_4(x)=3

Respuesta :

konrad509 konrad509

22-07-2018

[tex] \log_4(x+1)-\log_4x=3 \qquad(x>0)\\
\log_4\dfrac{x+1}{x}=3\\
\dfrac{x+1}{x}=4^3\\
\dfrac{x+1}{x}=64\\
x+1=64x\\
63x=1\\
x=\dfrac{1}{63} [/tex]

Answer Link

Otras preguntas

Match each term to their definition. 1. additive identity the reciprocal of a number; if x is a number other than zero, then 1/x is the multiplicative inverse;

True or false One reason you may wish to estimate your travel time is so that you can inform others of your expected arrival time.

True or false? To develop good alternatives, one should brainstorm ideas and consider different perspectives

una oracion con colonización

Which person, known as the "father of monasticism," wrote a book describing the daily schedule of work and prayer for monks? A. Saladin

Describe the restriction of individual rights and the use of mass terror in Italy and the Soviet Union.

Which advantages did Britain have against America during the American War for Independence?

Except for a few pigeons, Central Park was deserted. Mist hung above the chilled grass. Patches of old snow, scattered here and there, looked like white puddles

Hank Aaron Biography

What is the value of x? Round your answer to the nearest tenth if necessary. Right triangle whose two legs measure seven and four, and whose hypotenuse is x