The base of a logarithm should always be positive and can't be equal to 1, so the domain is 0 < <em>x</em> < 1 or <em>x</em> > 1.
Write both sides as powers of 1/<em>x</em> :
Recall that 
, so that
Take the 5th root of both sides, recalling that 3⁵ = 243, so
![x=\sqrt[5]{\dfrac1{243}}=\boxed{\dfrac13}](https://tex.z-dn.net/?f=x%3D%5Csqrt%5B5%5D%7B%5Cdfrac1%7B243%7D%7D%3D%5Cboxed%7B%5Cdfrac13%7D)
Answer:
400cm
Step-by-step explanation:
Answer:
a) 4
b) 2
Step-by-step explanation:
a) multiply the coefficients and add the exponents
(4)(1) · 
= 4
b) divide the coefficients and subtract the exponents
(14 ÷ 7) · 
= 2
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Answer: The equation is y= -2x -4
Step-by-step explanation:
The slope intercept form is like y=mx+b so we know the slope which is m but we just need to find the y intercept.
and we will use the given coordinates to find the y intercept by putting in the x and y coordinates into the formula y=mx + b
-6= -2(1) + b
-6= -2 + b
+2 +2
b= -4
