Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x=27
Evaluate
log27(log3(x))=31
Find the domain
More Steps
Evaluate
{x>0log3(x)>0
Calculate
More Steps
Evaluate
log3(x)>0
For 3>1 the expression log3(x)>0 is equivalent to x>30
x>30
Evaluate the power
x>1
{x>0x>1
Find the intersection
x>1
log27(log3(x))=31,x>1
Convert the logarithm into exponential form using the fact that logax=b is equal to x=ab
log3(x)=2731
Evaluate the power
log3(x)=3
Convert the logarithm into exponential form using the fact that logax=b is equal to x=ab
x=33
Evaluate the power
x=27
Check if the solution is in the defined range
x=27,x>1
Solution
x=27
Show Solution
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