Which equation can you solve to find the potential solutions to the equation log2x + log2(x – 6) = 4?

The value of x from the given logarithmic expression are -2 and 8

Given the expression

log2x + log2(x – 6) = 4

Applying the product rule in indices

log2(x(x-6)) = 4

log2(x²-6x) = log2 16

Cancelling log on both sides, we will have;

x² - 6x = 16

Equate to zero

x² - 6x - 16 = 0

x² -8x +2 x - 16 = 0

x(x-8) + 2(x-8) = 0

x = -2 and 8

Hence the value of x from the given logarithmic expression are -2 and 8

Learn more on logarithm here: link

If the question is

which can be simplified to

By the definition of log, means

=>

2^4=x(x-6)=x^2-6x

Simplify and solve for x

x^2-6x-16=0

(x+2)(x-8)=0

x=-2 or x=8

Since no answer choices are given, one of the equations in the above solution should appear in the answer choices.

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

step-by-step explanation:

is their an equation anywhere i can take a   look at it and see if i am right.