7^x^2=9^x how do I solve this using logs

Mathematics

1 answer:

Rina8888 [55]3 years ago

4 0

Apply lg on both sides.
lg7^x^2 = lg9^x
Bring the power forward.
x^2lg7 = xlg9
x^2/x = lg9/lg7
x = lg9/lg7 = 1.13

You might be interested in

Does anyone know the answer to this

PtichkaEL [24]

Answer:

Odd

Step-by-step explanation:

One way I remember is that:

Even functions: Have symmetry over the y-axis

Odd functions: Don't have symmetry over the y-axis

8 0

3 years ago

Read 2 more answers

Find the equation whose graph is a parabola with vertex (2,4), vertical axis of symmetry, and contains the point (1,1). Express

gtnhenbr [62]

Answer:

Step-by-step explanation:

4 0

3 years ago

Jason collects baseball cards. He bought one card for $25. Its current value is represented by the expression 25(1.02)t, where t

IrinaVladis [17]

This one isn’t really that hard. the answer is 24.

8 0

2 years ago

Condense the expression log 2x + log(x² - 9) - log x +3

Rudik [331]

Here the my solutions,hope you understand

4 0

2 years ago

Consider he function f(x)=2x-4 a.find the inverse of (x) and name it g(x) . Show your work <br /><br /> B. Use funct

inna [77]

$A.\\f(x)=2x-4\to y=2x-4\\\\\text{change x to y and y to x}\\\\x=2y-4\\\\\text{solve for y}\\\\2y-4=x\qquad|+4\\\\2y=x+4\qquad|:2\\\\y=\dfrac{1}{2}x+2\\\\f^{-1}(x)=g(x)=\dfrac{1}{2}x+2\\B.\\\text{Verifying if two functions are inverses of each other is a simple two-step process.}\\1.\ \text{Plug}\ f(x)\ \text{into}\ g(x)\ \text{and simplify}\\2.\ \text{Plug}\ g(x)\ \text{into}\ f(x)\ \text{and simplify}\\\\If\ g[f(x)]=f[g(x)]=x,\ then\ functions\ are\ inverses\ of\ each\ other.$

$f(x)=2x-4,\ g(x)=\dfrac{1}{2}x+2\\\\g[f(x)]=\dfrac{1}{2}(2x-4)+2=\dfrac{1}{2}(2x)+\dfrac{1}{2}(-4)+2=x-2+2=x\\\\f[g(x)]=2\left(\dfrac{1}{2}x+2\right)-4=2\left(\dfrac{1}{2}x\right)+2(2)-4=x+4-4=x\\\\\text{Since the results above came out OK, both}\ x,\text{ then we can claim}\\\text{that functions f (x) and g (x) are inverses of each other.}$

6 0

4 years ago