newkid2070 newkid2070
  • 22-10-2019
  • Mathematics
contestada

If x and y are positive real numbers, and log(y) = 1 + log(x), express y in terms of x.

Respuesta :

nuuk nuuk
  • 22-10-2019

Answer:[tex]y=10^{10x}[/tex]

Step-by-step explanation:

Given

Equation [tex]\log \left ( y\right )=1+\left ( x\right )[/tex]

We know

[tex]\log_a b=x[/tex]

[tex]b=a^x[/tex]

and [tex]\log m+\log n=\log \left ( m\cdot n\right )[/tex]

Applying identities

[tex]\log \left ( y\right )=\log \left ( 10\right )+\left ( x\right )[/tex]

[tex]\log \left ( y\right )=\log \left ( 10x\right )[/tex]

[tex]y=10^{10x}[/tex]

Answer Link

Otras preguntas

Please help me out !!!!!!!!!
The tile along the edge of a triangular community pool needs to be replaced. Which expression represents the total perimeter of the pool edge? 12x2 + 15 20x2 +
How could yo improve public knowledge about obesity at your school
The table below shows the air pressure in pounds per square inch at different altitudes in thousand feet: Altitude (thousand feet) 5 10 15 20 25 30 35 40 45 Air
How should America respond to Saudi Arabia and the murder of the journalist?
What’s the answers ?
John and Maria are spending the afternoon hiking in the desert. They purchased six bottles of water for $9.00, two protein bars for lunch for &5.00, and som
What is the equation of a line that passes through the point (1, 3) and is parallel to a line with a slope of -2? A. y = -2x + 3 B. y = -2x + 5 C. y = 2x +
city installs recycling centers that take wood products. How might the recycling centers help increase the availability of wood
ANSWER QUESTION A. ANSWER QUESTION B