Log equations

Approximate the value of  $\log_584$  to the nearest ten-thousands place.

• 1.9243

• 2.7530

• 2.6232

• 0.6990

Solve for x: $\log_2\left(6x-15\right)=\log_2\left(41-2x\right)$  

• 7

• 14

• 6.5

• 3.25

Solve for x:  $4\log x=8$  

• 100

• 1024

• 4096

• 100000

Tags

CCSS.HSF.BF.B.5

What is the X-INTERCEPT for the graph  $f\left(x\right)=\log_3\left(x+7\right)-1$  

• -4

• 2

• -7

• 0.7712

Tags

CCSS.HSF-IF.C.7E

What is the asymptote for the graph  $f\left(x\right)=\log_3\left(x+7\right)-1$  

• x=-7

• x=7

• y=-7

• y=7

Tags

CCSS.HSF-IF.C.7E

Solve for x:  $3^x=75$  

• 3.9299

• 157.1927

• 0.6250

• 25

Tags

CCSS.HSF.LE.A.4

Expand the logarithm:  $\log_5m^2n^5$  

•  $2\log_5m+5\log_5n$  

•  $10\log_5mn$  

•  $2\log_5m\times5\log_5n$  

•  $2\cdot5\log_5m+n$  

Condense the expression into a single logarithm:  $2\left(\log m-\log n\right)$  

•  $\log\ \left(\frac{m}{n}\right)^2$  

•  $\log\ \frac{m^2}{n}$  

•  $\log\ \left(m-n\right)^2$  

•  $\log\ \left(2m-2n\right)$  

Solve for a: $7^{10a}=79$  

• 0.2245

• 2.2455

• 9.3480

• 0.0271

Tags

CCSS.HSF.LE.A.4

 $\log_2\left(3x-10\right)=\log_2\left(14-x\right)$  

• 6

• 12

• 1

• 2