See screenshot below​

Step-by-step explanation:

we would like to solve the following exponential equation:

to do so divide both sides by 2 which yields:

take log of base 6 in both sides so that we can solve the equation for x by using and that yields:

use the formula:

hence,

our answer is B)

Step-by-step explanation:

A equation is given to us and we need to find out the value of x . The given equation is ,

Transpose 2 to RHS , we have ,

Simplify ,

Use log both sides with base "6"

Using the property of log ,

Again we know that ,

We have ,

Therefore ,

Hence option B is correct .

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

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step-by-step explanation: