Consider the equation 10 2z/3=15. solve the equation for z.
express the solution as a logarithm base-10
z=
approximate the value of z. round your answer to the nearest thousandth
z=

Hi there! :)

Rewrite as a logarithmic equation using this format:

In this instance:

a = 10 (log is by default base 10)

b = 2z / 3

c = 15

Rewrite as the log equation:

Evaluate log (15):

Multiply both sides by 3:

Divide both sides by 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