starinthenight
Badges: 18
Rep:
?
#1
Report Thread starter 3 weeks ago
#1
It says solve 2*5^3x+2=6*7^1-2x
0
reply
mqb2766
Badges: 19
Rep:
?
#2
Report 3 weeks ago
#2
(Original post by starinthenight)
It says solve 2*5^3x+2=6*7^1-2x
Assuming its


2*5^{3x+2}=6*7^{1-2x}
Try taking logs
0
reply
starinthenight
Badges: 18
Rep:
?
#3
Report Thread starter 3 weeks ago
#3
(Original post by mqb2766)
Assuming its


2*5^{3x+2}=6*7^{1-2x}
Try taking logs
I have but am still struggling?
0
reply
mqb2766
Badges: 19
Rep:
?
#4
Report 3 weeks ago
#4
(Original post by starinthenight)
I have but am still struggling?
Upload what you tried? It should just be the two usual rules
log(ab) = log(a) + log(b)
log(a^b) = b*log(a)
1
reply
starinthenight
Badges: 18
Rep:
?
#5
Report Thread starter 3 weeks ago
#5
Name:  IMG_20210925_082929.jpg
Views: 4
Size:  95.9 KB
0
reply
starinthenight
Badges: 18
Rep:
?
#6
Report Thread starter 3 weeks ago
#6
(Original post by mqb2766)
Upload what you tried? It should just be the two usual rules
log(ab) = log(a) + log(b)
log(a^b) = b*log(a)
Sorry for the blur
For some reason mathway gives a different answer
Last edited by starinthenight; 3 weeks ago
0
reply
starinthenight
Badges: 18
Rep:
?
#7
Report Thread starter 3 weeks ago
#7
Ngl i think ive given up
0
reply
mqb2766
Badges: 19
Rep:
?
#8
Report 3 weeks ago
#8
For the left hand side, you have to take log of the whole thing so
log(2*5^(3x+2)) = log(2) + log(5^(3x+2)) = log(2) + (3x+2)log(5)
Similarly for the right hand side and then solve for x.

Note you could have simplified it slightly by dividing by 2 at the start before taking logs
Last edited by mqb2766; 3 weeks ago
0
reply
X

Quick Reply

Attached files
Write a reply...
Reply
new posts
Back
to top
Latest
My Feed

See more of what you like on
The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

Personalise

How are you feeling now you've started university?

I'm loving it! (57)
14.65%
I'm enjoying it but I'm still settling in (98)
25.19%
I'm a bit unsure (67)
17.22%
I'm finding things difficult (133)
34.19%
Something else (let us know in the thread!) (34)
8.74%

Watched Threads

View All