Question

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

Answer 1

Answer:

x = 15

Step-by-step explanation:

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

Answer 2

Answer:

Your answer would be x = 15

I hope his helped and have a wonderful day!

~Real