2 years ago

When I solved this equation I got x=0.5

Mathematics

1 answer:

qwelly [4]2 years ago

4 0

You might have made an error the first time you solved for x. I got x = -0.5.

When you have your log base 4, the way you cancel that out is by making 4 the base on both sides, so you get 4^(log4) to reduce to 1, and you're left with:

2x + 3 = 4^(1/2) ... Simplify

2x + 3 = 2

2x = -1

x = -1/2

If you plug that back in, everything checks out. Maybe double check your use of logarithm/exponent properties?

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2 years ago

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vaieri [72.5K]

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2 years ago

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Very confused on this.... have a test tomorrow

Lostsunrise [7]

Answer:

ln(5/256)

Step-by-step explanation:

Step 1, do the stuff in parenthesis:

1/5 (2ln5 + 3ln5) - 8ln2 = 1/5 (5ln5) - 8ln2

Step 2, remove parenthesis and simplify:

1/5 (5ln5) - 8ln2 = ln5 - 8ln2

Step 3, use this formula-

8*ln2 = ln2^8 = ln256

-to get:

ln5 - 8ln2 = ln5 - ln256

Step 4, use another formula:

ln(A) - ln(B) = ln(A/B), so the answer is ln(5/256) TADA!

6 0

2 years ago

What is the equation of the graphed line?

Ludmilka [50]

-7+3/6+6=-4/12= -1/4
y+3= -1/4(x+6)
y+3= -1/4x-3/2
y=-1/4x-9/2

7 0

2 years ago

WILL GET BRAILIEST FOR CORRECT ANSWER

Alex Ar [27]

Answer:

x = ± $\sqrt{20}$

Step-by-step explanation:

Given

x² = 20 ( take the square root of both sides )

x = ± $\sqrt{20}$

which can be simplified to

x = ± 2 $\sqrt{5}$

[ ± means plus or minus ]

5 0

2 years ago