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[50 POINTS!!!] HELP!
Solve This Logarithm. Find X. Please Type Steps!

[50 POINTS!!!] HELP! Solve This Logarithm. Find X. Please Type Steps!-example-1
User Sho Gondo
by
5.8k points

2 Answers

4 votes

Answer:

Your answer would be x = 15

I hope his helped and have a wonderful day!

~Real

User Aarif Aslam
by
4.4k points
2 votes

Answer:

x = 15

Explanation:


\text{Domain:}\ x>0\\\\\log_83+(1)/(2)\log_825=\log_8x\qquad\text{use}\ n\log_ab=\log_ab^n\\\\\log_83+\log_825^(1)/(2)=\log_8x\qquad\text{use}\ a^(1)/(2)=√(a)\\\\\log_83+\log_8√(25)=\log_8x\\\\\log_83+\log_85=\log_8x\qquad\text{use}\ \log_ab+\log_ac=\log_a(bc)\\\\\log_8(3\cdot5)=\log_8x\\\\\log_815=\log_8x\iff15=x\to x=15\in D

User Fantix King
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5.0k points