12. calculate the following logarithms.
b. log10 (1/100)

The answer to your question is: -2

Step-by-step explanation:

Data

                                log₁₀(1/100) = ?

We need to find a number that when we elevate 10 to this number, we get 1/100.

As the result is a fraction, the number must be negative.

And as the result must be 100, we can look for a root of 100 that gives 10, that root is square root (2).

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

the solution is x=1

step-by-step explanation:

we are given our   equation as

let's assume

left side function is

right side function is

now, we can draw graph

and then we can get intersection point

the intersection point will be solution

so, the solution is

x=1