Question
Solve the equation
x=−3log10(2)7
Alternative Form
x≈−7.751166
Evaluate
79log10(4)×x=−6
Multiply the numbers
79log10(4)x=−6
Multiply by the reciprocal
79log10(4)x×9log10(4)7=−6×9log10(4)7
Multiply
x=−6×9log10(4)7
Multiply
More Steps

Evaluate
−6×9log10(4)7
Reduce the numbers
−2×3log10(4)7
To multiply the fractions,multiply the numerators and denominators separately
−3log10(4)2×7
Multiply the numbers
−3log10(4)14
x=−3log10(4)14
Solution
More Steps

Evaluate
−3log10(4)14
Simplify
More Steps

Evaluate
3log10(4)
Simplify
3×2log10(2)
Multiply the numbers
6log10(2)
−6log10(2)14
Rewrite the expression
6log10(2)−14
Cancel out the common factor 2
3log10(2)−7
Use b−a=−ba=−ba to rewrite the fraction
−3log10(2)7
x=−3log10(2)7
Alternative Form
x≈−7.751166
Show Solution
