It is ##-1##. We apply the properties of the logarithm: ##ln(1/e)=ln(e^(-1))## the first property is that the exponent exit and multiply the log ##ln(e^-1)=-ln(e)## the second […]
Equation of circle is ##x^2+y^2+6x-6y+14=0## and ##y=1## is tangent at ##(-31)## The equation of a circle with center ##(-33)## with radius ##r## is ##(x+3)^2+(y-3)^2=r^2## or ##x^2+y^2+6x-6y+9+9-r^2=0## […]
The notation ##H^-1## means the inverse function. The equation of the inverse function can be found by switching the ##x## and ##y## values inside the function. […]
Use the equation and plug in the center and the radius. ##(x+2)^2+y^2=25## Recall the equation for a circle: ##(x-h)^2+(y-k)^2=r^2## Where ##(hk)## is the center of a […]
##a_n = 25-10(n-1)## An is a sequence in which there is a constant difference between successive terms. Given an arithmetic sequence with initial term ##a_1## and […]
It is ##log_3 9=2## By definition the logarithmic form ##log_b x=y## is equivalent to the exponential form ##b^y=x## Hence from the given ##3^2=9## you have ##b=3## […]