Exponential and Logarithmic Equations + Expand/Condense

Solve for x:
4^x- 5 = 12

• 0.489
• 2.552
• 0.893
• 2.044

Tags

CCSS.HSF.LE.A.4

Solve:

3^2n-2+4=9

• n=1.732

• n=3.465

• n=1.465

• n=5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.LE.A.1

Solve

15^x-8+5=62

• 9.493

• 1.493

• 57

• 1.756

Tags

CCSS.HSF.LE.A.4

-6+log(6x)=-7

• 0.0167

• 0.1

• -1

• no solution

Solve

9⋅log₇(x-3)=0

• 4

• 1

• 0

• 0.1

Tags

CCSS.HSF.BF.B.5

log₄(x+6)-log₄(x)=2

• 0.4

• 6

• 15

• 16

Expand the Logarithm completely:

• ln(x)+ln(y)-ln(z)

• ln(xy)-ln(z)

• xln(y) / z

• ln(x+y)/ln(z)

Expand the Logarithm completely:

• 5log(x)+2log(z)-3log(y)

• log(5x)+log(2z)-log(3y)

• log(x)+log(z)-log(y)+4

• ln(xz)-ln(y)

Condense into a single Logarithm, Completely:

• log(7 / x²)

• log(7/2x)

• log (14x)

• log(7+x²)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Condense into a single Logarithm:

3ln(x)+2ln(y)-4ln(z)

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