Question

PLEASE HELP WITH STEPS 25 POINTS!!!!

Answer 1

Answer:

• $1.75+0.25log_{10}a$

Step-by-step explanation:

Given:

• $x =\sqrt{10\sqrt{10a} } /0.1$

Simplify:

• $x =\sqrt[4]{10^210a} /0.1$
• $x =10\sqrt[4]{10^3a}$
• $x=10^{1+3/4}a^{1/4}$
• $x=10^{1.75}a^{0.25}$

log both sides:

• $log_{10}x=log_{10}(10^{1.75}a^{0.25})$
• $log_{10}x=log_{10}10^{1.75} +log_{10}a^{0.25}$
• $log_{10}x=1.75 + 0.25log_{10}a$