Keisha is solving the equation 7^x = 9. Which shows the first step she should take?

log 7^x = 9
7^x = log 9
log 7^x = ln 9
log 7^x = log 9

Question

Keisha is solving the equation 7^x = 9. Which shows the first step she should take?

 		 log 7^x = 9
 		 7^x = log 9
 		 log 7^x = ln 9
 		 log 7^x = log 9

anonymous · Answer

First one.

anonymous · Answer

How do you know? Show me how you would work it out

anonymous · Answer

@hartnn @whpalmer4 Can you guys help me?

anonymous · Answer

Okay, hold on.

campbell_st · Answer

take the log of both sides of the equation

campbell_st · Answer

and make sure its the same base log.... 

so D

anonymous · Answer

Log should be placed first because it's conversion .
7^x = 9  This cannot be simplified without log
log 7^x = 9....

campbell_st · Answer

the 1st line is 

$$\log(7^x) = \log(9)$$

next apply the log law for powers

$$x \times \log(7) = \log(9)$$

now you can solve for x

anonymous · Answer

log 7^9 = x
log 7/ log 9 = 1.9459101490553132/2.1972245773362196 = 0.8856218745807111
= 0.89

anonymous · Answer

@campbell_st The bases are NOT the same so it cannot be solved that way. 7 = 9 is not true so DO NOT put log on both sides.

campbell_st · Answer

well here is a simple idea... looking at the solution @YISODUMB15 has posted... 

test his solution 

given his answer of 0.89

does 

$$7^{0.89} = 9$$

use a calculator to check

whpalmer4 · Answer

No need for a calculator — raising 7 to a power < 1 isn't going to give you a number > 7!

whpalmer4 · Answer

However, solving as @campbell_st suggests does give you the right answer...

anonymous · Answer

Oops

anonymous · Answer

Posted it again lol

anonymous · Answer

@whpalmer4 Exactly, Someone with sense. I solved it incorrectly but it isn't asking for a solution.

whpalmer4 · Answer

@campbell_st has plenty of sense, and is adding some value by showing how you would continue on to the solution.

campbell_st · Answer

its asking for the 1st line of the solution... so you can get the correct solution

anonymous · Answer

The way he or she said it would be correct if it was 7^x = 7. However the bases are 7 and 9 which are not the same number. Also, I know @campbell_st has sense, her method is very useful, it just shouldn't be implied in this question.

campbell_st · Answer

the question is asking.... 

7 to what power is equal to 9... 

7 is the base, x is the power or exponent and 9 is the basic numeral...