Solving Logarithms

You want to solve for x. Which of these is the correct "step 1"?

• $\log_78=\log_7x$

• $\log_742=\log_7x$

• $\log_748=\log_7\left(\frac{x}{6}\right)$

• $\log_754=\log_7x$

Tags

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

CCSS.HSA.CED.A.1

After step 1 is completed, we get to here. What's the same about the left and right sides of the equation? What's different?

Tags

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Finish solving for x

• x = 6

• x = 7

• x = 8

• x = 56

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

We want to solve for x. What's the first step?

• Rewrite as a logarithm: $\log_{189}3=x$

• Rewrite as a logarithm: $\log_3189=x$

• Rewrite 189 with a base of 3: $3^x=3^{63}$

• Rewrite 189 with a base of 3: $3^x=3^9$

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Finish solving for x.

• 0.210 = x

• 5 = x

• 63 = x

• 4.771 = x

• 4.462 = x

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

We want to solve for x. Which of these is the correct "step 1"?

• $\log\left(64\right)=\log\left(3x\right)$

• $\log\left(16\right)=\log\left(x^3\right)$

• $\log\left(16\right)=\log\left(3x\right)$

• $\log\left(64\right)=\log\left(x^3\right)$

• $\log\left(1\right)=\log\left(x^3\right)$

Tags

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSA.CED.A.1

Continue solving for x. Which is the correct "step 2"?

• $64=x^3$

• $64^3=x$

• $x^{64}=3$

• $3^{64}=x$

Tags

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

CCSS.HSA.CED.A.1

Finish solving for x.

Fill in the blank in the box below

(a)  

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Which is the correct "step 1" to solve for x?
Hint: look at the schoology discussions if you feel stuck

•  $\log_2\left(100x^5\right)=7$  

•  $\log_2\left(95x\right)=7$  

•  $\log_2\left(20x\right)=7$  

•  $\log_2\left(500x\right)=7$  

Tags

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

CCSS.HSA.CED.A.1

Finish solving for x.

Hint: look at the schoology discussions if you're stuck

• x = 0.175

• x = 6.4

• x = 0.7

• x = 12.8

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.CED.A.1