Answer: The correct answer is: " 3 " .
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Step-by-step explanation:
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The problem given is:
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Evaluate: log 2 base 8 .
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Rewrite as: "
" ; 
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Take note of the following definition of a logarithm:
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"
" ; ↔ "
" ;
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in which:
refers to the "base" ;
refers to the "argument" ;
refers to the "exponent" ;
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As such:
"
"
⇔ "
" ; Solve for "x" ;
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Note:
2⁰ = 1 ;
2¹ = 2 ;
2² = 2 * 2 = 4 ;
2³ = 2 * 2 * 2 = 8 .
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→ "
" ;
→ "
" ; since: "
" ;
→ as such: " x = 3 " ;
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Thus:
"log 2 base 8 " ;
=
.
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Hope this helps!
Best wishes to you!
Divide both sides by 5
x+4≤6
minus 4 both sides
x≤2
Answer:
x = 60
y = 80
Step-by-step explanation:
x° + 120° = 180° (interior angles on the same side of transversal)
x° = 180° - 120°
x° = 60°
x = 60
x° + y° = 140° (alternate angles)
60° + y° = 140°
y° = 140° - 60°
y° = 80°
y = 80
If it says "what is the equation of a slope of -3 and a y-intercept of -8"
Slope-intercept form: y = mx + b
("m" is the slope, "b" is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis]
Since you know:
m = -3
b = -8 Substitute/plug it into the equation
y = mx + b
y = -3x - 8